core_id stringlengths 4 9 | doi stringlengths 10 80 | original_abstract stringlengths 500 21.8k | original_title stringlengths 20 441 | processed_title stringlengths 20 441 | processed_abstract stringlengths 34 13.6k | cat stringclasses 3
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29556478 | 10.1007/s00029-016-0236-z | We study some aspects of modular generalized Springer theory for a complex
reductive group $G$ with coefficients in a field $\mathbb k$ under the
assumption that the characteristic $\ell$ of $\mathbb k$ is rather good for
$G$, i.e., $\ell$ is good and does not divide the order of the component group
of the centre of $G... | Constructible sheaves on nilpotent cones in rather good characteristic | constructible sheaves on nilpotent cones in rather good characteristic | modular springer reductive mathbb mathbb i.e. divide relating springer correspondence version. mautner cleanness conjecture deduce consequences supercuspidal sheaves orthogonal decomposition equivariant nilpotent | non_dup | [] |
25063073 | 10.1007/s00029-016-0241-2 | We introduce the Tesler polytope Tes_n(a_1,a_2,...,a_n), whose integer points
are the Tesler matrices of size n with nonnegative integer hook sums
a_1,a_2,...,a_n. We show that Tes_n(a) is a flow polytope and therefore the
number of Tesler matrices is counted by the type A_n Kostant partition function
evaluated at (a_1... | The polytope of Tesler matrices | the polytope of tesler matrices | tesler polytope integer tesler nonnegative integer hook sums polytope tesler counted kostant partition faces polytope tesler tableaux characterize polytope simple. mahonian consecutive catalan multiplied tableaux staircase pages figures. corrected updated | non_dup | [] |
42651291 | 10.1007/s00029-016-0259-5 | Let $G$ be a $\mathbb{Q}_p$-split reductive group with connected centre and
Borel subgroup $B=TN$. We construct a right exact functor $D^\vee_\Delta$ from
the category of smooth modulo $p^n$ representations of $B$ to the category of
projective limits of finitely generated \'etale $(\varphi,\Gamma)$-modules over
a multi... | Multivariable $(\varphi,\Gamma)$-modules and smooth $o$-torsion
representations | multivariable $(\varphi,\gamma)$-modules and smooth $o$-torsion representations | mathbb split reductive borel subgroup functor delta modulo representations projective finitely etale varphi gamma modules multivariable indexed roots commutative laurent ring. representations mathrm overline mathbb mathbb equivalence categories. parabolic subgroup basechange laurent roots levi delta finitely representa... | non_dup | [] |
24997734 | 10.1007/s00029-016-0264-8 | In 1998, Leclerc and Zelevinsky introduced the notion of weakly separated
collections of subsets of the ordered $n$-element set $[n]$ (using this notion
to give a combinatorial characterization for quasi-commuting minors of a
quantum matrix). They conjectured the purity of certain natural domains
$D\subseteq 2^{[n]}$ (... | Combined tilings and separated set-systems | combined tilings and separated set-systems | leclerc zelevinsky notion weakly separated collections subsets ordered notion combinatorial quasi commuting minors conjectured purity subseteq hypercube hyper simplex subseteq colon maximal weakly separated collections cardinality. conjectures answered affirmatively. generalizing reveal wider geometric combinatorial we... | non_dup | [] |
25043340 | 10.1007/s00029-016-0266-6 | We study a class of scalar, linear, non-local Riemann-Hilbert problems (RHP)
involving finite subgroups of PSL(2,C). We associate to such problems a (maybe
infinite) root system and describe the relevance of the orbits of the Weyl
group in the construction of its solutions. As an application, we study in
detail the lar... | Root systems, spectral curves, and analysis of a Chern-Simons matrix
model for Seifert fibered spaces | root systems, spectral curves, and analysis of a chern-simons matrix model for seifert fibered spaces | riemann hilbert involving subgroups associate maybe infinite relevance orbits weyl solutions. chern simons partition manifolds rational homology spheres seifert fibered spaces. above. i.e. manifolds quotients mathbb isometry weyl algebraic computed. topological recursion. consequences analyticity perturbative invariant... | non_dup | [] |
42673693 | 10.1007/s00029-016-0280-8 | We prove that the dg category of perfect complexes on a smooth, proper
Deligne-Mumford stack over a field of characteristic zero is geometric in the
sense of Orlov, and in particular smooth and proper. On the level of
triangulated categories, this means that the derived category of perfect
complexes embeds as an admiss... | Geometricity for derived categories of algebraic stacks | geometricity for derived categories of algebraic stacks | perfect complexes proper deligne mumford stack geometric orlov proper. triangulated categories perfect complexes embeds admissible subcategory coherent sheaves projective variety. projective tame artin stack | non_dup | [] |
29534677 | 10.1007/s00029-016-0285-3 | Schwartz functions, or measures, are defined on any smooth semi-algebraic
("Nash") manifold, and are known to form a cosheaf for the semi-algebraic
restricted topology. We extend this definition to smooth semi-algebraic stacks,
which are defined as geometric stacks in the category of Nash manifolds.
Moreover, when th... | The Schwartz space of a smooth semi-algebraic stack | the schwartz space of a smooth semi-algebraic stack | schwartz algebraic nash manifold cosheaf algebraic restricted topology. extend algebraic stacks geometric stacks nash manifolds. algebraic quotient stacks affine reductive whenever semisimple stack truncation methods. regularization orbital integrals semisimple point. generalizes arthur selberg trace jacquet trace form... | non_dup | [] |
29529746 | 10.1007/s00029-016-0287-1 | We study a moduli problem on a nodal curve of arithmetic genus 1, whose
solution is an open subscheme in the zastava space for projective line. This
moduli space is equipped with a natural Poisson structure, and we compute it in
a natural coordinate system. We compare this Poisson structure with the
trigonometric Poiss... | Towards a cluster structure on trigonometric zastava | towards a cluster structure on trigonometric zastava | moduli nodal arithmetic genus subscheme zastava projective line. moduli equipped poisson coordinate system. poisson trigonometric poisson transversal slices affine flag variety. conjecture minors trigonometric finkelberg kuznetsov rybnikov dobrovolska pages corrected pages selecta math. versio | non_dup | [] |
29524841 | 10.1007/s00029-016-0290-6 | For a left coherent ring A with every left ideal having a countable set of
generators, we show that the coderived category of left A-modules is compactly
generated by the bounded derived category of finitely presented left A-modules
(reproducing a particular case of a recent result of Stovicek with our
methods). Furthe... | Coherent rings, fp-injective modules, dualizing complexes, and covariant
Serre-Grothendieck duality | coherent rings, fp-injective modules, dualizing complexes, and covariant serre-grothendieck duality | coherent ideal countable generators coderived modules compactly finitely modules reproducing stovicek dualizing injective modules noncommutative coherent rings equivalence coderived modules contraderived modules. notion dualizing bimodules noncommutative homomorphisms equivalence semicoderived modules semicontraderived... | non_dup | [] |
42680592 | 10.1007/s00029-016-0293-3 | We study Quot schemes of 0-dimensional quotients of sheaves on 3-folds $X$.
When the sheaf $\mathcal{R}$ is rank 2 and reflexive, we prove that the
generating function of Euler characteristics of these Quot schemes is a power
of the MacMahon function times a polynomial. This polynomial is itself the
generating function... | Rank 2 wall-crossing and the Serre correspondence | rank 2 wall-crossing and the serre correspondence | quot schemes quotients sheaves folds sheaf mathcal reflexive generating euler quot schemes macmahon polynomial. generating euler quot schemes sheaf locus mathcal locally free. mathbb mathcal equivariant generating function. localization young. hartshorne serre correspondence hall stoppa r.p. pages. version. assumptions... | non_dup | [] |
42676587 | 10.1007/s00029-016-0295-1 | In this paper, we continue the study of the existence problem of compact
Clifford-Klein forms from a cohomological point of view, which was initiated by
Kobayashi-Ono and extended by Benoist-Labourie and the author. We give an
obstruction to the existence of compact Clifford-Klein forms by relating a
natural homomorphi... | A cohomological obstruction to the existence of compact Clifford-Klein
forms | a cohomological obstruction to the existence of compact clifford-klein forms | continue clifford klein cohomological initiated kobayashi benoist labourie author. obstruction clifford klein relating homomorphism cohomology rham cohomology cohomological discontinuous groups. obstruction derive e.g. mathrm mathrm mathrm mathrm mathbb mathrm homogeneous admit clifford klein form. cartan cohomology re... | non_dup | [] |
42680112 | 10.1007/s00029-016-0296-0 | We prove that a universal class categorical in a high-enough cardinal is
categorical on a tail of cardinals. As opposed to other results in the
literature, we work in ZFC, do not require the categoricity cardinal to be a
successor, do not assume amalgamation, and do not use large cardinals. Moreover
we give an explicit... | Shelah's eventual categoricity conjecture in universal classes. Part II | shelah's eventual categoricity conjecture in universal classes. part ii | universal categorical cardinal categorical tail cardinals. opposed categoricity cardinal successor amalgamation cardinals. mathbf universal mathbb omega omega sentence. categorical lambda beth beth omega categorical lambda beth beth omega byproduct conjecture grossberg universal mathbf corollary universal mathbb omega ... | non_dup | [] |
42691950 | 10.1007/s00029-017-0302-1 | The topological vertex is a universal series which can be regarded as an
object in combinatorics, representation theory, geometry, or physics. It
encodes the combinatorics of 3D partitions, the action of vertex operators on
Fock space, the Donaldson-Thomas theory of toric Calabi-Yau threefolds, or the
open string parti... | Trace Identities for the Topological Vertex | trace identities for the topological vertex | topological universal regarded combinatorics physics. encodes combinatorics partitions fock donaldson thomas toric calabi threefolds partition mathbb identities involving topological closely fourier expansions jacobi forms. purely combinatorial theoretic formulas donaldson thomas invariants elliptically fibered calabi ... | non_dup | [] |
29501489 | 10.1007/s00029-017-0314-x | We call a knot in the 3-sphere $SU(2)$-simple if all representations of the
fundamental group of its complement which map a meridian to a trace-free
element in $SU(2)$ are binary dihedral. This is a generalisation of being a
2-bridge knot. Pretzel knots with bridge number $\geq 3$ are not
$SU(2)$-simple. We provide an ... | A class of knots with simple $SU(2)$ representations | a class of knots with simple $su(2)$ representations | call knot sphere representations complement meridian trace dihedral. generalisation bridge knot. pretzel knots bridge simple. infinite knots bridge simple. expects instanton knot floer homology knot knot determinant genericity reasonable expect. formally resemblance heegaard floer homology. knots formal resemblance ref... | non_dup | [] |
42735742 | 10.1007/s00029-017-0315-9 | Let $\mathfrak{g}$ be a simple finite-dimensional Lie superalgebra with a
non-degenerate supersymmetric even invariant bilinear form, $f$ a nilpotent
element in the even part of $\mathfrak{g}$, $\Gamma$ a good grading of
$\mathfrak{g}$ for $f$ and $\mathcal{W}^{k}(\mathfrak{g},f;\Gamma)$ the
$\mathcal{W}$-algebra assoc... | Screening operators for W-algebras | screening operators for w-algebras | mathfrak superalgebra degenerate supersymmetric bilinear nilpotent mathfrak gamma grading mathfrak mathcal mathfrak gamma mathcal mathfrak gamma drinfeld sokolov reduction. mathcal intersection kernels screening acting superalgebra affine superalgebra neutral superfermion superalgebra. mathcal nilpotent mathfrak isomor... | non_dup | [] |
42751172 | 10.1007/s00029-017-0316-8 | The goal of this work is to provide an elementary construction of the
canonical basis $\mathbf B(w)$ in each quantum Schubert cell~$U_q(w)$ and to
establish its invariance under modified Lusztig's symmetries. To that effect,
we obtain a direct characterization of the upper global basis $\mathbf B^{up}$
in terms of a su... | Canonical bases of quantum Schubert cells and their symmetries | canonical bases of quantum schubert cells and their symmetries | goal elementary canonical mathbf schubert establish invariance lusztig symmetries. mathbf bilinear mathbf mathbf preserved lusztig amslatex pages typos correcte | non_dup | [] |
42744748 | 10.1007/s00029-017-0319-5 | We look at Poisson geometry taking the viewpoint of singular foliations,
understood as suitable submodules generated by Hamiltonian vector fields rather
than partitions into (symplectic) leaves. The class of Poisson structures which
behave best from this point of view, are those whose submodule generated by
Hamiltonian... | Almost regular Poisson manifolds and their holonomy groupoids | almost regular poisson manifolds and their holonomy groupoids | look poisson viewpoint singular foliations understood submodules partitions symplectic leaves. poisson behave submodule arises holonomy groupoid. call poisson completely. poisson symplectic manifolds poisson symplectic foliation presents singularities. holonomy groupoid poisson poisson groupoid integrating naturally bi... | non_dup | [] |
29528919 | 10.1007/s00029-017-0324-8 | We present a new method of proving the Diophantine extremality of various
dynamically defined measures, vastly expanding the class of measures known to
be extremal. This generalizes and improves the celebrated theorem of Kleinbock
and Margulis ('98) resolving Sprind\v{z}uk's conjecture, as well as its
extension by Klei... | Extremality and dynamically defined measures, part I: Diophantine
properties of quasi-decaying measures | extremality and dynamically defined measures, part i: diophantine properties of quasi-decaying measures | proving diophantine extremality dynamically vastly expanding extremal. generalizes improves celebrated kleinbock margulis resolving sprind conjecture kleinbock lindenstrauss weiss hereafter abbreviated klw. extremality hyperbolic sufficiently hausdorff patterson sullivan nonplanar geometrically groups. plethora weakeni... | non_dup | [] |
73388729 | 10.1007/s00029-017-0328-4 | We refine the statement of the denominator and evaluation conjectures for
affine Macdonald polynomials proposed by Etingof-Kirillov Jr. and prove the
first non-trivial cases of these conjectures. Our results provide a
q-deformation of the computation of genus 1 conformal blocks via elliptic
Selberg integrals by Felder-... | Affine Macdonald conjectures and special values of Felder-Varchenko
functions | affine macdonald conjectures and special values of felder-varchenko functions | refine statement denominator conjectures affine macdonald polynomials etingof kirillov trivial conjectures. deformation genus conformal blocks elliptic selberg integrals felder stevens varchenko. precise formulations affine macdonald conjectures computations. applies named relate conjectures widehat mathfrak evaluation... | non_dup | [] |
42678862 | 10.1007/s00029-017-0338-2 | We prove an inequality between the $L^{\infty}$-norm of the contact
Hamiltonian of a positive loop of contactomorphims and the minimal Reeb period.
This implies that there are no small positive loops on hypertight or Liouville
fillable contact manifolds. Non-existence of small positive loops for
overtwisted 3-manifolds... | Positive loops and $L^{\infty}$-contact systolic inequalities | positive loops and $l^{\infty}$-contact systolic inequalities | inequality infty norm contactomorphims reeb period. loops hypertight liouville fillable manifolds. loops overtwisted manifolds proved casals presas sandon corollaries inequality deduce results. e.g. reeb flows minimizers infty norm. establish infty systolic inequalities pages corrected changed statements theorems selec... | non_dup | [] |
42664337 | 10.1007/s00029-017-0339-1 | We provide a construction of free factorization algebras in algebraic
geometry and link factorization homology of a scheme with coefficients in a
free factorization algebra to the homology of its (unordered) configuration
spaces. As an application, this construction allows for a purely
algebro-geometric proof of homolo... | Free factorization algebras and homology of configuration spaces in
algebraic geometry | free factorization algebras and homology of configuration spaces in algebraic geometry | factorization algebras algebraic factorization homology factorization homology unordered spaces. purely algebro geometric homological publication springer selecta mathematica n.s. | non_dup | [] |
42667549 | 10.1007/s00029-017-0343-5 | We explore the relationship between a certain "abelian duality" property of
spaces and the propagation properties of their cohomology jump loci. To that
end, we develop the analogy between abelian duality spaces and those spaces
which possess what we call the "EPY property." The same underlying homological
algebra allo... | Abelian duality and propagation of resonance | abelian duality and propagation of resonance | explore abelian duality propagation cohomology jump loci. analogy abelian duality possess call property. homological deduce propagation jump loci former varieties propagate varieties. arrangements elliptic hyperplanes toric complexes angled artin bestvina brady groups. brings fore relevance cohen macaulay combinatorial | non_dup | [] |
73958233 | 10.1007/s00029-017-0344-4 | We discuss a conjecture saying that derived equivalence of simply connected
smooth projective varieties implies that the difference of their classes in the
Grothendieck ring of varieties is annihilated by a power of the affine line
class.
We support the conjecture with a number of known examples, and one new
example.... | Grothendieck ring of varieties, D- and L-equivalence, and families of
quadrics | grothendieck ring of varieties, d- and l-equivalence, and families of quadrics | conjecture saying equivalence projective varieties grothendieck varieties annihilated affine class. conjecture example. intersection quadrics mathbf cover mathbf branched sextic curve. soon brauer vanishes annihilated affine exposition conjecture update | non_dup | [] |
42698211 | 10.1007/s00029-017-0348-0 | We study graded nonlocal $\underline{\mathsf{q}}$-vertex algebras and we
prove that they can be generated by certain sets of vertex operators. As an
application, we consider the family of graded nonlocal
$\underline{\mathsf{q}}$-vertex algebras $V_{c,1}$, $c\geq 1$, associated with
the principal subspaces $W(c\Lambda_0... | Higher level vertex operators for $U_q (\hat{\mathfrak{sl}}_2)$ | higher level vertex operators for $u_q (\hat{\mathfrak{sl}}_2)$ | graded nonlocal underline mathsf algebras operators. graded nonlocal underline mathsf algebras principal subspaces lambda integrable mathfrak modules lambda integrability derive combinatorial bases character pages figur | non_dup | [] |
111364709 | 10.1007/s00029-017-0349-z | In this paper we study higher Deligne–Lusztig representations of reductive\ud
groups over finite quotients of discrete valuation rings. At even levels, we show that\ud
these geometrically constructed representations, defined by Lusztig, coincide with\ud
certain explicit induced representations defined by Gérardin, thus... | The algebraisation of higher Deligne–Lusztig representations. | the algebraisation of higher deligne–lusztig representations. | deligne–lusztig representations reductive quotients valuation rings. geometrically representations lusztig coincide representations gérardin giving raised lusztig. representations. immediate verify conjecture letellier | non_dup | [] |
73404603 | 10.1007/s00029-017-0381-z | Let k be a field of characteristic zero. Etingof and Kazhdan constructed a
quantisation U_h(b) of any Lie bialgebra b over k, which depends on the choice
of an associator Phi. They prove moreover that this quantisation is functorial
in b. Remarkably, the quantum group U_h(b) is endowed with a Tannakian
equivalence F_b ... | A 2-categorical extension of Etingof-Kazhdan quantisation | a 2-categorical extension of etingof-kazhdan quantisation | zero. etingof kazhdan quantisation bialgebra associator phi. quantisation functorial remarkably endowed tannakian equivalence braided drinfeld yetter modules deformed associativity drinfeld yetter modules equivalence functorial revisions equivalence admissible drinfeld yetter modules modules double. selecta math. | non_dup | [] |
29499170 | 10.1007/s00029-017-0383-x | We present a theory of the $b$-function (or Bernstein-Sato polynomial) in
positive characteristic. Let $f$ be a non-constant polynomial with coefficients
in a perfect field $k$ of characteristic $p>0.$ Its $b$-function $b_f$ is
defined to be an ideal of the algebra of continuous $k$-valued functions on
$\mathbb{Z}_p.$ ... | On a theory of the $b$-function in positive characteristic | on a theory of the $b$-function in positive characteristic | bernstein sato characteristic. perfect ideal valued mathbb locus naturally interpreted mathbb call roots finitely roots rational numbers. builds musta modules grothendieck operators. frobenius finiteness relate ideals comment versio | non_dup | [] |
42641883 | 10.1007/s00029-017-0384-9 | We study the relative orbifold Donaldson-Thomas theory of
$[\mathbb{C}^2/\mathbb{Z}_{n+1}]\times \mathbb{P}^1$. We establish a
correspondence between the DT theory relative to 3 fibers to quantum
multiplication by divisors in the Hilbert scheme of points on
$[\mathbb{C}^2/\mathbb{Z}_{n+1}]$. This determines the whole t... | Donaldson-Thomas theory of $[\mathbb{C}^2/\mathbb{Z}_{n+1}]\times
\mathbb{P}^1$ | donaldson-thomas theory of $[\mathbb{c}^2/\mathbb{z}_{n+1}]\times \mathbb{p}^1$ | orbifold donaldson thomas mathbb mathbb mathbb establish correspondence fibers multiplication divisors hilbert mathbb mathbb determines nondegeneracy assumed. viewed crepant correspondence mathcal mathbb .comment pages figure. minor selecta mathematica | non_dup | [] |
73408994 | 10.1007/s00029-017-0387-6 | The Littlewood--Richardson process is a discrete random point process arising
from the isotypic decomposition of tensor products of irreducible
representations of $\operatorname{GL}_N(\mathbb{C})$. Biane--Perelomov--Popov
matrices are quantum random matrices obtained as the geometric quantization of
random Hermitian ma... | Semiclassical asymptotics of $\operatorname{GL}_N(\mathbb{C})$ tensor
products and quantum random matrices | semiclassical asymptotics of $\operatorname{gl}_n(\mathbb{c})$ tensor products and quantum random matrices | littlewood richardson arising isotypic decomposition irreducible representations operatorname mathbb biane perelomov popov geometric quantization hermitian deterministic eigenvalues uniformly eigenvectors. biane observables coincide sums classically thereby enabling operatorname mathbb products. classically freely semi... | non_dup | [] |
42668626 | 10.1007/s00029-018-0389-z | We study plane partitions satisfying condition $a_{n+1,m+1}=0$ (this
condition is called "pit") and asymptotic conditions along three coordinate
axes. We find the formulas for generating function of such plane partitions.
Such plane partitions label the basis vectors in certain representations of
quantum toroidal $\m... | Plane partitions with a "pit": generating functions and representation
theory | plane partitions with a "pit": generating functions and representation theory | partitions satisfying asymptotic coordinate axes. formulas generating partitions. partitions label representations toroidal mathfrak formulas interpreted characters representations. formulas resemble formulas characters representations superalgebra mathfrak theoretic formulas deformed mathfrak .comment pages pages subs... | non_dup | [] |
73956427 | 10.1007/s00029-018-0394-2 | Following the proof of the purity conjecture for weakly separated
collections, recent years have revealed a variety of wider examples of purity
in different settings. In this paper we consider the collection $\mathcal
A_{I,J}$ of sets that are weakly separated from two fixed sets $I$ and $J$. We
show that all maximal b... | Weak Separation, Pure Domains and Cluster Distance | weak separation, pure domains and cluster distance | purity conjecture weakly separated collections wider purity settings. mathcal weakly separated maximal inclusion weakly separated collections mathcal mathcal maximal sufficiently generic cardinality mathcal bounds mutation coordinate grassmannian. projection relates octahedron recurrence mutation distances distances pa... | non_dup | [] |
73959871 | 10.1007/s00029-018-0405-3 | In this paper, we study the geometry of various Hessenberg varieties in type
A, as well as families thereof, with the additional goal of laying the
groundwork for future computations of Newton-Okounkov bodies of Hessenberg
varieties. Our main results are as follows. We find explicit and
computationally convenient gener... | Geometry of Hessenberg varieties with applications to Newton-Okounkov
bodies | geometry of hessenberg varieties with applications to newton-okounkov bodies | hessenberg varieties families thereof goal laying groundwork computations newton okounkov bodies hessenberg varieties. follows. computationally convenient generators defining ideals indecomposable nilpotent hessenberg varieties nilpotent hessenberg varieties intersections. families hessenberg varieties generic fibers s... | non_dup | [] |
73350291 | 10.1007/s00029-018-0406-2 | We define and study coisotropic structures on morphisms of commutative dg
algebras in the context of shifted Poisson geometry, i.e. $P_n$-algebras.
Roughly speaking, a coisotropic morphism is given by a $P_{n+1}$-algebra acting
on a $P_n$-algebra. One of our main results is an identification of the space
of such coisot... | Derived coisotropic structures I: affine case | derived coisotropic structures i: affine case | coisotropic morphisms commutative algebras shifted poisson i.e. algebras. roughly speaking coisotropic morphism acting algebra. coisotropic maurer cartan polyvector fields. goal cofibrant replacement operad controlling coisotropic morphisms analogy swiss cheese operad interest. morphisms shifted poisson algebras coisot... | non_dup | [] |
83848170 | 10.1007/s00029-018-0407-1 | We extend results about $n$-shifted coisotropic structures from part I of
this work to the setting of derived Artin stacks. We show that an intersection
of coisotropic morphisms carries a Poisson structure of shift one less. We also
compare non-degenerate shifted coisotropic structures and shifted Lagrangian
structures... | Derived coisotropic structures II: stacks and quantization | derived coisotropic structures ii: stacks and quantization | extend shifted coisotropic artin stacks. intersection coisotropic morphisms carries poisson less. degenerate shifted coisotropic shifted lagrangian equivalence result. quantizations shifted coisotropic .comment pages. adde | non_dup | [] |
83831537 | 10.1007/s00029-018-0412-4 | We generalize Lusztig's nilpotent varieties, and Kashiwara and Saito's
geometric construction of crystal graphs from the symmetric to the
symmetrizable case. We also construct semicanonical functions in the
convolution algebras of generalized preprojective algebras. Conjecturally these
functions yield semicanonical bas... | Quivers with relations for symmetrizable Cartan matrices IV: Crystal
graphs and semicanonical functions | quivers with relations for symmetrizable cartan matrices iv: crystal graphs and semicanonical functions | generalize lusztig nilpotent varieties kashiwara saito geometric symmetrizable case. semicanonical convolution algebras preprojective algebras. conjecturally semicanonical bases enveloping algebras symmetrizable moody pages. typos fixed. selecta mathematic | non_dup | [] |
73384550 | 10.1007/s00029-018-0423-1 | The orbits of the orthogonal and symplectic groups on the flag variety are in
bijection, respectively, with the involutions and fixed-point-free involutions
in the symmetric group $S_n$. Wyser and Yong have described polynomial
representatives for the cohomology classes of the closures of these orbits,
which we denote ... | Transition formulas for involution Schubert polynomials | transition formulas for involution schubert polynomials | orbits orthogonal symplectic flag bijection involutions involutions wyser yong representatives cohomology closures orbits mathfrak involution schubert polynomials mathfrak involution schubert polynomials formulas decomposing mathfrak mathfrak involution schubert polynomials. identities serve analogues lascoux utzenberg... | non_dup | [] |
73372313 | 10.1007/s00029-018-0429-8 | We give an explicit description of the trace, or Hochschild homology, of the
quantum Heisenberg category defined by Licata and Savage. We also show that as
an algebra, it is isomorphic to "half" of a central extension of the elliptic
Hall algebra of Burban and Schiffmann, specialized at $\sigma = \bar\sigma^{-1}
= q$. ... | The Elliptic Hall algebra and the deformed Khovanov Heisenberg category | the elliptic hall algebra and the deformed khovanov heisenberg category | trace hochschild homology heisenberg licata savage. isomorphic elliptic hall burban schiffmann specialized sigma sigma hochschild homologies affine hecke algebras mathrm injects elliptic hall trace heisenberg category. trace agrees specialization schiffmann vasserot hilbert pages numerous | non_dup | [] |
93950215 | 10.1007/s00029-018-0434-y | A geometric approach to immersion formulas for soliton surfaces is provided
through new cohomologies on spaces of special types of $\mathfrak{g}$-valued
differential forms. This leads us to introduce Poincar\'e-type lemmas for these
cohomologies, which appropriately describe the integrability conditions of Lax
pairs as... | A cohomological approach to immersed submanifolds via integrable systems | a cohomological approach to immersed submanifolds via integrable systems | geometric immersion formulas soliton cohomologies mathfrak valued forms. poincar lemmas cohomologies appropriately integrability pdes. clarify deformations soliton aforesaid pairs. generalization soliton algebras soliton submanifolds. infinite manifolds diffieties enable justify assumptions soliton surfaces. illustrate... | non_dup | [] |
73410536 | 10.1007/s00029-018-0435-x | We introduce a new link invariant called the algebraic genus, which gives an
upper bound for the topological slice genus of links. In fact, the algebraic
genus is an upper bound for another version of the slice genus proposed here:
the minimal genus of a surface in the four-ball whose complement has infinite
cyclic fun... | On classical upper bounds for slice genera | on classical upper bounds for slice genera | algebraic genus topological slice genus links. algebraic genus slice genus genus ball complement infinite cyclic group. characterize algebraic genus cobordisms explore connections knot invariants seifert blanchfield knot genera unknotting. employing casson gordon invariants algebraic genus candidate topological slice g... | non_dup | [] |
2574315 | 10.1007/s00030-003-1051-8 | We study the Hamilton-Jacobi equation for undiscounted exit time control
problems with general nonnegative Lagrangians using the dynamic programming
approach. We prove theorems characterizing the value function as the unique
bounded-from-below viscosity solution of the Hamilton-Jacobi equation which is
null on the targ... | Bounded-From-Below Solutions of the Hamilton-Jacobi Equation for Optimal
Control Problems with Exit Times: Vanishing Lagrangians, Eikonal Equations,
and Shape-From-Shading | bounded-from-below solutions of the hamilton-jacobi equation for optimal control problems with exit times: vanishing lagrangians, eikonal equations, and shape-from-shading | hamilton jacobi undiscounted exit nonnegative lagrangians programming approach. theorems characterizing viscosity hamilton jacobi target. applies trajectories satisfying stay set. lagrangian uniformly hypotheses uniqueness hamilton jacobi satisfied. theorems eikonal geometric optics shading variants fuller pages public... | non_dup | [] |
29513144 | 10.1007/s00030-007-2047-6 | In this paper, we consider a time independent $C^2$ Hamiltonian, sa\-tisfying
the usual hypothesis of the classical Calculus of Variations, on a non-compact
connected manifold. Using the Lax-Oleinik semigroup, we give a proof of the
existence of weak KAM solutions, or viscosity solutions, for the associated
Hamilton-Ja... | Weak KAM theorem on non compact manifolds | weak kam theorem on non compact manifolds | tisfying usual calculus manifold. oleinik semigroup viscosity hamilton jacobi equation. symmetries. amenability symmetries admin overlap | non_dup | [] |
36728444 | 10.1007/s00030-009-0023-z | The article of record as published may be located at http://dx.doi.org/10.1007/s00030-009-0023-zIn this work, we first prove the existence and uniqueness of a strong solution to stochastic GOY model of turbulence with a small multiplicative noise. Then using the weak convergence approach, Laplace principle for solutio... | Large deviations for the stochastic shell model of turbulence | large deviations for the stochastic shell model of turbulence | record uniqueness stochastic turbulence multiplicative noise. laplace stochastic polish space. wentzell freidlin utilizing varadhan bryc | non_dup | [] |
2811769 | 10.1007/s00030-011-0105-6 | Countable families of global-in-time and blow-up similarity sign-changing patterns of the Cauchy problem for the fourth-order thin film equation (TFE-4) ut= -del . (|u|(n)del Delta u) in R(N) x R(+), where n > 0, are studied. The similarity solutions are of standard "forward" and "backward" forms u(+/-)(x, t) = (+/- t)... | Local bifurcation-branching analysis of global and "blow-up" patterns for a fourth-order thin film equation | local bifurcation-branching analysis of global and "blow-up" patterns for a fourth-order thin film equation | countable families blow similarity changing cauchy fourth film delta studied. similarity backward alpha beta beta alpha solve alpha del. delta beta alpha alpha eigenvalue i.e. asymptotics infinity blow describing micro pde. countable gamma alpha gamma bifurcation branching homotopy alpha adjoint delta delta possess sig... | non_dup | [] |
2116386 | 10.1007/s00030-011-0107-4 | A simple version of exact finite dimensional reduction for the variational
setting of mechanical systems is presented. It is worked out by means of a
thorough global version of the implicit function theorem for monotone
operators. Moreover, the Hessian of the reduced function preserves all the
relevant information of t... | Finite reduction and Morse index estimates for mechanical systems | finite reduction and morse index estimates for mechanical systems | variational presented. worked thorough implicit monotone operators. hessian preserves schur complement spontaneously context. straightforwardly dirichlet pages minor | non_dup | [] |
54039251 | 10.1007/s00030-011-0148-8 | International audienceWe study the Cauchy-Dirichlet problem for the elliptic-parabolic equation $$b(u)_t +\div F(u) - \Delta u=f$$ in a bounded domain. We do not assume the structure condition ''$b(z)=b(\hat z) \Rightarrow F(z)=F(\hat z)$''. Our main goal is to investigate the problem of continuous dependence of the so... | Convergence of approximate solutions to an elliptic-parabolic equation without the structure condition | convergence of approximate solutions to an elliptic-parabolic equation without the structure condition | audiencewe cauchy dirichlet elliptic parabolic delta domain. rightarrow goal discretization methods. ammar wittbold cite ammarwittbold monotonicity penalization study. lipschitz justify uniqueness uniqueness convergent data. varepsilon discretized semigroup monotone implicit scheme. merely admits maximal | non_dup | [] |
47104741 | 10.1007/s00030-012-0155-4 | 26 pagesInternational audienceThe hydrodynamic limit for a kinetic model of chemotaxis is investigated. The limit equation is a non local conservation law, for which finite time blow-up occurs, giving rise to measure-valued solutions and discontinuous velocities. An adaptation of the notion of duality solutions, introd... | Chemotaxis: from kinetic equations to aggregate dynamics | chemotaxis: from kinetic equations to aggregate dynamics | pagesinternational audiencethe hydrodynamic chemotaxis investigated. conservation blow giving valued discontinuous velocities. adaptation notion duality discontinuous result. uniqueness precise aggregates i.e. combinations dirac masses. build adapted | non_dup | [] |
52905238 | 10.1007/s00030-012-0156-3 | International audienceWe consider the asymptotic behavior of an evolving weakly coupled Fokker-Planck system of two equations set in a periodic environment. The magnitudes of the diffusion and the coupling are respectively proportional and inversely proportional to the size of the period. We prove that, as the period t... | A homogenization approach for the motion of motor proteins | a homogenization approach for the motion of motor proteins | audiencewe asymptotic evolving weakly fokker planck environment. magnitudes inversely period. tends propagate concentrate move all. arises motor states. move filament immobile | non_dup | [] |
55621257 | 10.1007/s00030-012-0204-z | For the initial value problem (IVP) associated to the generalized
Korteweg-de Vries (gKdV) equation with supercritical nonlinearity,
\begin{equation*}
u_{t}+\partial_x^3u+\partial_x(u^{k+1}) =0,\qquad k\geq 5,
\end{equation*}
numerical evidence [Bona J.L., Dougalis V.A., Karakashian O.A., McKinney W.R.: Conservati... | On the supercritical KDV equation with time-oscillating nonlinearity | on the supercritical kdv equation with time-oscillating nonlinearity | korteweg vries gkdv supercritical nonlinearity begin qquad bona j.l. dougalis v.a. karakashian o.a. mckinney w.r. conservative schemes korteweg–de vries equation. philos. trans. roy. soc. ser. mathbb blow time. abdullaev f.k. caputo j.g. kraenkel r.a. malomed b.a. controlling collapse bose–einstein condensates modulati... | non_dup | [] |
5236932 | 10.1007/s00030-013-0220-7 | We study the long time behavior of solutions of the Cauchy problem for
nonlinear reaction-diffusion equations in one space dimension with the
nonlinearity of bistable, ignition or monostable type. We prove a one-to-one
relation between the long time behavior of the solution and the limit value of
its energy for symmetr... | Threshold phenomena for symmetric decreasing solutions of
reaction-diffusion equations | threshold phenomena for symmetric decreasing solutions of reaction-diffusion equations | cauchy nonlinearity bistable ignition monostable type. decreasing assumptions nonlinearities. establish sharp propagation extinction monotone families | non_dup | [] |
9706634 | 10.1007/s00030-013-0223-4 | We modify the approach of Burton and Toland Comm. Pure Appl. Math. (2011) to show the existence of periodic surface water waves with vorticity in order that it becomes suited to a stability analysis. This is achieved by enlarging the function space to a class of stream functions that do not correspond necessarily to tr... | On the stability of travelling waves with vorticity obtained by minimization | on the stability of travelling waves with vorticity obtained by minimization | modify burton toland comm. appl. math. vorticity suited analysis. enlarging stream necessarily travelling profiles. stream priori vanish galilean coordinate system. travelling minimisation preserved evolutionary minimisation burton toland maximisation circulation impulse becoming lagrange multiplier preclude flows choo... | non_dup | [] |
24941634 | 10.1007/s00030-013-0258-6 | In this article, we study the Fu\v{c}ik spectrum of fractional Laplace
operator which is defined as the set of all $(\al,\ba)\in \mb
R^2$ such that
\begin{equation*}
\quad \left. \begin{array}{lr}
\quad (-\De)^s u = \al u^{+} - \ba u^{-} \; \text{in}\; \Om
\quad \quad \quad \quad u = 0 \; \mbox{in}\; \mb R^n ... | On The Fu\v{c}ik Spectrum Of Non-Local Elliptic Operators | on the fu\v{c}ik spectrum of non-local elliptic operators | fractional laplace begin quad left. begin array quad quad quad quad quad mbox setminus array quad trivial lipschitz nontrivial e.g. lipschitz strictly decreasing asymptotic article. variational eigenvalue fractional eigenvalue obtained. nonresonance pages nodea | non_dup | [] |
24989724 | 10.1007/s00030-014-0266-1 | We consider the non-linear thermoelastic plate equation in rectangular
domains $\Omega$. More precisely, $\Omega$ is considered to be given as the
Cartesian product of whole or half spaces and a cube. First the linearized
equation is treated as an abstract Cauchy problem in $L^p$-spaces. We take
advantage of the struct... | Local Strong Solutions for the Non-Linear Thermoelastic Plate Equation
on Rectangular Domains in $L^p$-Spaces | local strong solutions for the non-linear thermoelastic plate equation on rectangular domains in $l^p$-spaces | thermoelastic plate rectangular omega precisely omega cartesian cube. linearized cauchy spaces. advantage omega valued fourier multiplier infer mathcal mathcal infty calculus. maximal regularity uniqueness analytic analytic dependency pages versio | non_dup | [] |
54007894 | 10.1007/s00030-014-0267-0 | We study the controllability for a class of semilinear differential inclusions in Banach spaces. Since we assume the regularity of the nonlinear part with respect to the weak topology, we do not require the compactness of the evolution operator generated by the linear part. As well we are not posing any conditions on t... | Controllability for systems governed by semilinear evolution equations without compactness | controllability for systems governed by semilinear evolution equations without compactness | controllability semilinear inclusions banach spaces. regularity topology compactness part. posing multivalued nonlinearity noncompactness. usual controllability problem. notice infinite compactness controllability contradiction other. convex weakly sequentially restricted argument. regularity solve controllability cond... | non_dup | [] |
25047559 | 10.1007/s00030-015-0311-8 | We provide new results on the existence, non-existence, localization and
multiplicity of nontrivial solutions for systems of Hammerstein integral
equations. Some of the criteria involve a comparison with the spectral radii of
some associated linear operators. We apply our results to prove the existence
of multiple nonz... | Nonzero radial solutions for a class of elliptic systems with nonlocal
BCs on annular domains | nonzero radial solutions for a class of elliptic systems with nonlocal bcs on annular domains | localization multiplicity nontrivial hammerstein equations. involve radii operators. nonzero elliptic nonlocal conditions. topological relies index. illustrate pages. admin overlap | non_dup | [] |
29504570 | 10.1007/s00030-015-0315-4 | We study the existence of positive viscosity solutions to Trudinger's
equation for cylindrical domains $\Omega\times[0, T)$, where $\Omega\subset
\mathbb{R}^n,\;n\ge 2,$ is a bounded domain, $T>0$ and $2\leq p<\infty$. We
show existence for general domains $\Omega,$ when $n<p<\infty$. For $2\leq
p\leq n$, we prove exis... | On the viscosity solutions to Trudinger's equation | on the viscosity solutions to trudinger's equation | viscosity trudinger cylindrical omega omega mathbb infty omega infty omega satisfy outer ball condition. constructing super perron pages | non_dup | [] |
25047368 | 10.1007/s00030-015-0341-2 | We study the propagation of singularities for semilinear Schrodinger
equations with quadratic Hamiltonians, in particular for the semilinear
harmonic oscillator. We show that the propagation still occurs along the flow
the Hamiltonian flow, but for Sobolev regularities in a certain range and
provided the notion of Sobo... | Propagation of singularities for semilinear Schr\"odinger equations | propagation of singularities for semilinear schr\"odinger equations | propagation singularities semilinear schrodinger quadratic hamiltonians semilinear harmonic oscillator. propagation sobolev regularities notion sobolev front conveniently modified. weighted paradifferential calculus adapted situation. regarded schrodinger counterpart semilinear hyperbolic hold usual front | non_dup | [] |
29556415 | 10.1007/s00030-015-0350-1 | We generalize the notion of renormalized solution to semilinear elliptic and
parabolic equations involving operator associated with general (possibly
nonlocal) regular Dirichlet form and smooth measure on the right-hand side. We
show that under mild integrability assumption on the data a quasi-continuous
function $u$ i... | Renormalized solutions of semilinear equations involving measure data
and operator corresponding to Dirichlet form | renormalized solutions of semilinear equations involving measure data and operator corresponding to dirichlet form | generalize notion renormalized semilinear elliptic parabolic involving possibly nonlocal dirichlet side. mild integrability quasi renormalized elliptic parabolic probabilistic i.e. feynman formula. broad nonlocal semilinear renormalized | non_dup | [] |
48159764 | 10.1007/s00030-016-0401-2 | article 47International audienceWe study existence and uniqueness of the invariant measure for a stochastic process with degenerate diffusion, whose infinitesimal generator is a linear subelliptic operator in the whole space R N with coefficients that may be unbounded. Such a measure together with a Liouville-type theo... | The ergodic problem for some subelliptic operators with unbounded coefficients | the ergodic problem for some subelliptic operators with unbounded coefficients | audiencewe uniqueness stochastic degenerate infinitesimal generator subelliptic unbounded. liouville crucial ergodic stationary vanishing discount parabolic cauchy problem. | non_dup | [] |
42706979 | 10.1007/s00030-016-0408-8 | We study the Cauchy problem for a nonlinear damped wave equation. Under
suitable assumptions for the nonlinearity and the initial data, we obtain the
global solution which satisfies weighted $L^1$ and $L^\infty$ estimates.
Furthermore, we establish the higher order asymptotic expansion of the
solution. This means that ... | Higher order asymptotic expansions to the solutions for a nonlinear
damped wave equation | higher order asymptotic expansions to the solutions for a nonlinear damped wave equation | cauchy damped equation. assumptions nonlinearity satisfies weighted infty estimates. establish asymptotic solution. data. parabolic | non_dup | [] |
29540736 | 10.1007/s00030-016-0411-0 | We prove existence and multiplicity results for finite energy solutions to
the nonlinear elliptic equation \[ -\triangle u+V\left( \left| x\right| \right)
u=g\left( \left| x\right| ,u\right) \quad \textrm{in }\Omega \subseteq
\mathbb{R}^{N},\ N\geq 3, \] where $\Omega $ is a radial domain (bounded or
unbounded) and $u$... | Compactness and existence results in weighted Sobolev spaces of radial
functions. Part II: Existence | compactness and existence results in weighted sobolev spaces of radial functions. part ii: existence | multiplicity elliptic triangle quad textrm omega subseteq mathbb omega unbounded satisfies omega omega mathbb rightarrow rightarrow infty omega unbounded. vanishing unbounded infinity nonlinearity superlinear sublinear. sublinear cdot pages | non_dup | [] |
42745274 | 10.1007/s00030-016-0424-8 | We consider the nonlinear Choquard equation $$ -\Delta u+V u=(I_\alpha \ast
\vert u\vert ^p)\vert u\vert ^{p-2}u \qquad \text{ in } \mathbb{R}^N $$ where
$N\geq 1$, $I_\alpha$ is the Riesz potential integral operator of order $\alpha
\in (0, N)$ and $p > 1$. If the potential $ V \in C (\mathbb{R}^N; [0,+\infty))
$ sati... | Choquard equations under confining external potentials | choquard equations under confining external potentials | choquard delta alpha vert vert vert vert qquad mathbb alpha riesz alpha mathbb infty satisfies confining liminf vert vert infty frac vert vert frac alpha infty frac frac alpha groundstate infinite unbounded nodal solution. constructions weighted embedding theorems. sharp poho | non_dup | [] |
42724468 | 10.1007/s00030-017-0434-1 | We study the Cauchy problem for the nonlinear damped wave equation and
establish the large data local well-posedness and small data global
well-posedness with slowly decaying initial data. We also prove that the
asymptotic profile of the global solution is given by a solution of the
corresponding parabolic problem, whi... | The Cauchy problem for the nonlinear damped wave equation with slowly
decaying data | the cauchy problem for the nonlinear damped wave equation with slowly decaying data | cauchy damped establish posedness posedness slowly decaying data. asymptotic parabolic damped phenomena. blow lifespan subcritical nonlinearity. exponent pages. corrected update | non_dup | [] |
29506022 | 10.1007/s00030-017-0436-z | This paper concerns integral varifolds of arbitrary dimension in an open
subset of Euclidean space satisfying integrability conditions on their first
variation. Firstly, the study of pointwise power decay rates almost everywhere
of the quadratic tilt-excess is completed by establishing the precise decay
rate for two-di... | Decay rates for the quadratic and super-quadratic tilt-excess of
integral varifolds | decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds | concerns varifolds euclidean satisfying integrability variation. firstly pointwise everywhere quadratic tilt excess completed establishing precise varifolds locally variation. coercive involving excess quantity orlicz established. counter pointwise everywhere super quadratic tilt excess obtained. varifold exponent inte... | non_dup | [] |
42663733 | 10.1007/s00030-017-0457-7 | We study the mean curvature flow of graphs both with Neumann boundary
conditions and transport terms. We derive boundary gradient estimates for the
mean curvature flow. As an application, the existence of the mean curvature
flow of graphs is presented. A key argument is a boundary monotonicity formula
of a Huisken type... | Gradient estimates for mean curvature flow with Neumann boundary
conditions | gradient estimates for mean curvature flow with neumann boundary conditions | curvature neumann terms. derive curvature flow. curvature presented. argument monotonicity huisken reflected backward kernels. regularity pages publication nodea. | non_dup | [] |
73957174 | 10.1007/s00030-017-0468-4 | The purpose of this paper is to investigate the time behavior of the solution
of a weighted $p$-Laplacian evolution equation, given by \begin{align}
\label{eveq} \begin{cases} u_{t} = \text{div} \left(\gamma |\nabla
u|^{p-2}\nabla u \right) & \text{on} (0,\infty)\times S, \\ \gamma|\nabla
u|^{p-2}\nabla u\cdot\eta=0 & ... | Asymptotic Results for Solutions of a weighted p-Laplacian evolution
Equation with Neumann Boundary Conditions | asymptotic results for solutions of a weighted p-laplacian evolution equation with neumann boundary conditions | weighted laplacian begin align label eveq begin gamma nabla nabla infty gamma nabla nabla cdot infty cdot align mathbb setminus infty setminus subseteq mathbb outer gamma rightarrow infty muckenhoupt mathbb proven converges conservation extinction nodea august link.springer.co | non_dup | [] |
42668583 | 10.1007/s00030-017-0477-3 | We introduce a class of stochastic Allen-Cahn equations with a mobility
coefficient and colored noise. For initial data with finite free energy, we
analyze the corresponding Cauchy problem on the $d$-dimensional torus in the
time interval $[0,T]$. Assuming that $d\le 3$ and that the potential has
quartic growth, we pro... | Stochastic Allen-Cahn equation with mobility | stochastic allen-cahn equation with mobility | stochastic allen cahn mobility colored noise. analyze cauchy torus quartic uniqueness paths satisfying surely regularity .comment | non_dup | [] |
42728478 | 10.1007/s00030-017-0487-1 | In this article, we study the Brezis-Nirenberg type problem of nonlinear
Choquard equation involving a fractional Laplacian \[ (-\De)^s u = \left(
\int_{\Om}\frac{|u|^{2^*_{\mu,s}}}{|x-y|^{\mu}}\mathrm{d}y
\right)|u|^{2^*_{\mu,s}-2}u +\la u \; \text{in } \Om,\] where $\Om $ is a
bounded domain in $\mathbb R^n$ with Lip... | Fractional Choquard Equation with Critical Nonlinearities | fractional choquard equation with critical nonlinearities | brezis nirenberg choquard involving fractional laplacian frac mathrm mathbb lipschitz exponent hardy littlewood sobolev inequality. multiplicity regularity nonexistence variational pages. admin overlap | non_dup | [] |
42740271 | 10.1007/s00030-018-0500-3 | We show that the characterization of existence and uniqueness up to vertical
translations of solutions to the prescribed mean curvature equation, originally
proved by Giusti in the smooth case, holds true for domains satisfying very
mild regularity assumptions. Our results apply in particular to the
non-parametric solu... | The prescribed mean curvature equation in weakly regular domains | the prescribed mean curvature equation in weakly regular domains | uniqueness translations prescribed curvature originally proved giusti satisfying mild regularity assumptions. parametric capillary perfectly wetting fluids gravity. proofs mention textit gauss trace divergence spirit anzellotti textit lambda minimizers pages trace moved | non_dup | [] |
129348271 | 10.1007/s00030-018-0504-z | This paper considers a pair of coupled nonlinear Helmholtz equations
\begin{align*}
-\Delta u - \mu u = a(x) \left( |u|^\frac{p}{2} + b(x) |v|^\frac{p}{2}
\right)|u|^{\frac{p}{2} - 2}u, \end{align*} \begin{align*}
-\Delta v - \nu v = a(x) \left( |v|^\frac{p}{2} + b(x) |u|^\frac{p}{2}
\right)|v|^{\frac{p}{2} - 2}v \... | Dual Variational Methods for a nonlinear Helmholtz system | dual variational methods for a nonlinear helmholtz system | considers helmholtz begin align delta frac frac frac align begin align delta frac frac frac align mathbb frac nontrivial mathbb variational methods. lies deciding version. minor revisions quote explanations concerning infty exponent | non_dup | [] |
2560500 | 10.1007/s00031-004-7010-6 | Let $X$ be a smooth projective curve over the complex numbers. To every
representation $\rho\colon \GL(r)\lra \GL(V)$ of the complex general linear
group on the finite dimensional complex vector space $V$ which satisfies the
assumption that there be an integer $\alpha$ with $\rho(z \id_{\C^r})=z^\alpha
\id_V$ for all $... | A universal construction for moduli spaces of decorated vector bundles
over curves | a universal construction for moduli spaces of decorated vector bundles over curves | projective numbers. colon satisfies integer alpha alpha associate classifying triples bundle bundle colon trivial homomorphism. bundle classify triples consisting homomorphism colon bradlow pairs. conic bundles gomez sols. formulate semistability triples rational delta establish moduli delta triples topological type. n... | non_dup | [] |
2583409 | 10.1007/s00031-005-0402-4 | We construct the action of the quantum group U_v(sl_n) by the natural
correspondences in the equivariant localized $K$-theory of the Laumon based
Quasiflags' moduli spaces. The resulting module is the universal Verma module.
We construct geometrically the Shapovalov scalar product and the Whittaker
vectors. It follows ... | Finite difference quantum Toda lattice via equivariant K-theory | finite difference quantum toda lattice via equivariant k-theory | correspondences equivariant localized laumon quasiflags moduli spaces. module universal verma module. geometrically shapovalov whittaker vectors. generating characters sheaves laumon moduli satisfies analogue toda reproving givental lee. constructions affine agebra | non_dup | [] |
2572052 | 10.1007/s00031-005-1101-x | Let k be a field, n a positive integer, X a generic nxn matrix over k (i.e.,
a matrix (x_{ij}) of n^2 independent indeterminates over the polynomial ring
k[x_{ij}]), and adj(X) its classical adjoint. It is shown that if char k=0 and
n is odd, then adj(X) is not the product of two noninvertible nxn matrices over
k[x_{ij... | Can one factor the classical adjoint of a generic matrix? | can one factor the classical adjoint of a generic matrix? | integer generic i.e. indeterminates adjoint. char noninvertible restricted nontrivial factorizations occur. nonzero open. arises exterior functor modules posed operations arising revised answer version. answer buchweitz leuschke note. copy gbergman papers latest revisions sent | non_dup | [] |
2581364 | 10.1007/s00031-005-1107-4 | We study a generalization of the isomonodromic deformation to the case of
connections with irregular singularities. We call this generalization Isostokes
Deformation. A new deformation parameter arises: one can deform the formal
normal forms of connections at irregular points. We study this part of the
deformation, giv... | Algebraic and hamiltonian approaches to isostokes deformations | algebraic and hamiltonian approaches to isostokes deformations | generalization isomonodromic deformation connections irregular singularities. call generalization isostokes deformation. deformation arises deform formal connections irregular points. deformation giving algebraic description. hypercohomology hamiltonians. algebraic semisimiple pages minor expande | non_dup | [] |
2584412 | 10.1007/s00031-005-1116-3 | Let G be a complex reductive group. A normal G-variety X is called spherical
if a Borel subgroup of G has a dense orbit in X. Of particular interest are
spherical varieties which are smooth and affine since they form local models
for multiplicity free Hamiltonian K-manifolds, K a maximal compact subgroup of
G. In this ... | Classification of smooth affine spherical varieties | classification of smooth affine spherical varieties | reductive group. spherical borel subgroup dense orbit spherical varieties affine multiplicity manifolds maximal subgroup classify affine spherical varieties coverings tori pages texdraw pages updated typos correcte | non_dup | [] |
36025335 | 10.1007/s00031-005-1124-3 | 34 pages.-- MSC codes: 53C30; 53C26.-- Printed version published Dec 2006.-- ArXiv pre-print available at: http://arxiv.org/abs/math/0504550An explicit classification of homogeneous quaternionic Kaehler structures by real tensors is derived and we relate this to the\ud
representation-theoretic description found by Fino... | Homogeneous quaternionic Kaehler structures and quaternionic hyperbolic space | homogeneous quaternionic kaehler structures and quaternionic hyperbolic space | pages. codes printed print homogeneous quaternionic kaehler tensors relate theoretic fino. quaternionic hyperbolic characterised admitting homogeneous type. homogeneous .partially dgicyt spain partially hprn programme.peer reviewe | non_dup | [] |
2593622 | 10.1007/s00031-005-1125-2 | We study the composition of the functor from the category of modules over the
Lie algebra gl_m to the category of modules over the degenerate affine Hecke
algebra of GL_N introduced by I. Cherednik, with the functor from the latter
category to the category of modules over the Yangian Y(gl_n) due to V.
Drinfeld. We prop... | Yangians and Mickelsson Algebras I | yangians and mickelsson algebras i | functor modules modules degenerate affine hecke cherednik functor modules yangian drinfeld. propose theoretic explanation intertwining modules extremal cocycle weyl zhelobenko. establish connection functors centralizer yangian discovered publication added. admin substantial overlap math | non_dup | [] |
2584917 | 10.1007/s00031-005-1127-0 | Using methods applied by Atiyah in equivariant K-theory, Bredon obtained
exact sequences for the relative cohomologies (with rational coefficients) of
the equivariant skeletons of (sufficiently nice) T-spaces, T=(S^1)^n, with free
equivariant cohomology over the cohomology of BT. Here we characterise those
finite T-CW ... | Exact cohomology sequences with integral coefficients for torus actions | exact cohomology sequences with integral coefficients for torus actions | atiyah equivariant bredon cohomologies rational equivariant skeletons sufficiently nice equivariant cohomology cohomology characterise complexes isotropy analogous preprint math.at elementary pages versio | non_dup | [] |
2588533 | 10.1007/s00031-006-0051-2 | In two 1966 papers, Jacques Tits gave a construction of exceptional Lie
algebras (hence implicitly exceptional algebraic groups) and a classification
of possible indexes of simple algebraic groups. For the special case of his
construction that gives groups of type E6, we connect the two papers by
answering the question... | Groups of outer type E6 with trivial Tits algebras | groups of outer type e6 with trivial tits algebras | papers jacques tits gave exceptional algebras implicitly exceptional algebraic indexes algebraic groups. connect papers answering albert separable quadratic algebraic comment pages. possibly newer versions skip preprints.htm | non_dup | [] |
2594159 | 10.1007/s00031-007-0057-4 | A visible action on a complex manifold is a holomorphic action that admits a
$J$-transversal totally real submanifold $S$.
It is said to be strongly visible if there exists an orbit-preserving
anti-holomorphic diffeomorphism $\sigma$ such that $\sigma |_S = \mathrm{id}$.
In this paper, we prove that for any Hermiti... | Visible actions on symmetric spaces | visible actions on symmetric spaces | visible manifold holomorphic admits transversal totally submanifold said visible orbit preserving holomorphic diffeomorphism sigma sigma mathrm hermitian subgroup visible. explicitly orbit preserving holomorphic involution totally submanifold geometric multiplicity theorems irreducible modules restricted reductive exce... | non_dup | [] |
2594528 | 10.1007/s00031-007-0061-8 | We describe a stratification on the double flag variety $G/B^+\times G/B^-$
of a complex semisimple algebraic group $G$ analogous to the Deodhar
stratification on the flag variety $G/B^+$, which is a refinement of the
stratification into orbits both for $B^+\times B^-$ and for the diagonal action
of $G$, just as Deodha... | A Deodhar type stratification on the double flag variety | a deodhar type stratification on the double flag variety | stratification flag semisimple algebraic analogous deodhar stratification flag refinement stratification orbits diagonal deodhar stratification refines orbits coordinate stratum strata coisotropic subvarieties. connections generalize fomin zelevinsky bruhat marsh rietsch schubert | non_dup | [] |
2598978 | 10.1007/s00031-008-9006-0 | Our main result is that the simple Lie group $G=Sp(n,1)$ acts properly
isometrically on $L^p(G)$ if $p>4n+2$. To prove this, we introduce property
$({\BP}_0^V)$, for $V$ be a Banach space: a locally compact group $G$ has
property $({\BP}_0^V)$ if every affine isometric action of $G$ on $V$, such
that the linear part is... | Isometric group actions on Banach spaces and representations vanishing
at infinity | isometric group actions on banach spaces and representations vanishing at infinity | acts properly isometrically banach locally affine isometric metrically proper. solvable algebraic unitary representations characterize cohomology characterize lattices betti | non_dup | [] |
1936728 | 10.1007/s00031-008-9009-x | We compute the integral cohomology of the minimal non-trivial nilpotent orbit
in a complex simple (or quasi-simple) Lie algebra. We find by a uniform
approach that the middle cohomology group is isomorphic to the fundamental
group of the sub-root system generated by the long simple roots. The modulo
$\ell$ reduction of... | Cohomology of the minimal nilpotent orbit | cohomology of the minimal nilpotent orbit | cohomology trivial nilpotent orbit quasi algebra. cohomology isomorphic roots. modulo springer correspondent involves divides cohomology group. primes dividing torsion cohomology pages leray serre replaced gysin corrected typo | non_dup | [] |
1964029 | 10.1007/s00031-008-9037-6 | We construct natural selfmaps of compact cohomgeneity one manifolds with
finite Weyl group and compute their degrees and Lefschetz numbers. On manifolds
with simple cohomology rings this yields in certain cases relations between the
order of the Weyl group and the Euler characteristic of a principal orbit. We
apply our... | Cohomogeneity one manifolds and selfmaps of nontrivial degree | cohomogeneity one manifolds and selfmaps of nontrivial degree | selfmaps cohomgeneity manifolds weyl lefschetz numbers. manifolds cohomology rings weyl euler principal orbit. extend transposition infinite selfmaps degree. compositions selfmaps realize selfmaps .comment minor | non_dup | [] |
2030240 | 10.1007/s00031-010-9089-2 | Let X=spec A be a normal affine variety over an algebraically closed field k
of characteristic 0 endowed with an effective action of a torus T of dimension
n. Let also D be a homogeneous locally nilpotent derivation on the normal
affine Z^n-graded domain A, so that D generates a k_+-action on X that is
normalized by th... | Affine T-varieties of complexity one and locally nilpotent derivations | affine t-varieties of complexity one and locally nilpotent derivations | spec affine algebraically endowed torus homogeneous locally nilpotent derivation affine graded generates action. toric varieties generalizes flenner zaidenberg. homogeneous makar limanov varieties. exhibit rational varieties trivial makar limanov pages. minor structure. typo | non_dup | [] |
4434351 | 10.1007/s00031-010-9103-8 | We compute the space of Poisson traces on a classical W-algebra, i.e., linear functionals invariant under Hamiltonian derivations. Modulo any central character, this space identifies with the top cohomology of the corresponding Springer fiber. As a consequence, we deduce that the zeroth Hochschild homology of the corre... | Traces on finite W-algebras | traces on finite w-algebras | poisson traces i.e. functionals derivations. modulo character identifies cohomology springer fiber. deduce zeroth hochschild homology modulo character identifies cohomology springer fiber. irreducible representations cohomology dodd characteristic. cohomology springer fiber identifies poisson rham homology centrally al... | non_dup | [] |
2066655 | 10.1007/s00031-011-9120-2 | Let G be a simply connected semisimple algebraic group over an algebraically
closed field k of characteristic 0 and let V be a rational simple G-module of
finite dimension. If G/H \subset P(V) is a spherical orbit and if X is its
closure, then we describe the orbits of X and those of its normalization. If
moreover the ... | Spherical orbit closures in simple projective spaces and their
normalizations | spherical orbit closures in simple projective spaces and their normalizations | semisimple algebraic algebraically rational module dimension. spherical orbit closure orbits normalization. wonderful completion strict combinatorial normalization morphism homeomorphism. trivially fulfilled laced pages latex. groups. simplified proofs corrected minor mistakes references. mistake | non_dup | [] |
2106249 | 10.1007/s00031-011-9127-8 | We study a type of left-invariant structure on Lie groups, or equivalently on
Lie algebras. We introduce obstructions to the existence of a hypo structure,
namely the 5-dimensional geometry of hypersurfaces in manifolds with holonomy
SU(3). The choice of a splitting g^*=V_1 + V_2, and the vanishing of certain
associate... | Solvable Lie algebras are not that hypo | solvable lie algebras are not that hypo | equivalently algebras. obstructions hypo hypersurfaces manifolds holonomy splitting vanishing cohomology obstruction. hypo form. unimodular algebras derive obstruction hypo involved. classify solvable algebras admit hypo pages presentation typos corrected notational conflicts eliminated. | non_dup | [] |
2104292 | 10.1007/s00031-011-9131-z | Automorphism groups of locally finite trees provide a large class of examples
of simple totally disconnected locally compact groups. It is desirable to
understand the connections between the global and local structure of such a
group. Topologically, the local structure is given by the commensurability
class of a vertex... | Simple locally compact groups acting on trees and their germs of
automorphisms | simple locally compact groups acting on trees and their germs of automorphisms | automorphism locally trees totally disconnected locally groups. desirable connections group. topologically commensurability stabiliser stabiliser neighbours. interplay satisfying tits independence property. subgroups acts locally primitively. admits germs automorphisms extend automorphisms deduce answer george willis. ... | non_dup | [] |
2189877 | 10.1007/s00031-011-9167-0 | Given a holomorphic line bundle over the complex affine quadric $Q^2$, we
investigate its Stein, SU(2)-equivariant disc bundles. Up to equivariant
biholomorphism, these are all contained in a maximal one, say $\Omega_{max}$.
By removing the zero section to $\Omega_{max}$ one obtains the unique Stein,
SU(2)-equivariant,... | On hyperbolicity of SU(2)-equivariant, punctured disc bundles over the
complex affine quadric | on hyperbolicity of su(2)-equivariant, punctured disc bundles over the complex affine quadric | holomorphic bundle affine quadric stein equivariant disc bundles. equivariant biholomorphism maximal omega removing omega obtains stein equivariant punctured disc bundle curves. punctured disc bundles kobayashi pages minor | non_dup | [] |
2180701 | 10.1007/s00031-012-9174-9 | Geometric and dynamic properties of embeddings of SL(2,Z) into the Cremona
group are studied. Infinitely many non-conjugate embeddings which preserve the
type (i.e. which send elliptic, parabolic and hyperbolic elements onto elements
of the same type) are provided. The existence of infinitely many non-conjugate
ellipti... | Embeddings of SL(2,Z) into the Cremona group | embeddings of sl(2,z) into the cremona group | geometric embeddings cremona studied. infinitely conjugate embeddings preserve i.e. send elliptic parabolic hyperbolic provided. infinitely conjugate elliptic parabolic hyperbolic embeddings shown. automorphisms blowing projective given. isomorphic preserves elliptic infinite | non_dup | [] |
2185113 | 10.1007/s00031-012-9176-7 | We classify Nichols algebras of irreducible Yetter-Drinfeld modules over
groups such that the underlying rack is braided and the homogeneous component
of degree three of the Nichols algebra satisfies a given inequality. This
assumption turns out to be equivalent to a factorization assumption on the
Hilbert series. Besi... | Braided racks, Hurwitz actions and Nichols algebras with many cubic
relations | braided racks, hurwitz actions and nichols algebras with many cubic relations | classify nichols algebras irreducible yetter drinfeld modules rack braided homogeneous nichols satisfies inequality. turns factorization hilbert series. besides nichols algebras example. combinatorial hurwitz orbits braid pages tables | non_dup | [] |
2136335 | 10.1007/s00031-012-9178-5 | In the present paper we introduce and study the notion of an equivariant
pretheory: basic examples include equivariant Chow groups, equivariant K-theory
and equivariant algebraic cobordism. To extend this set of examples we define
an equivariant (co)homology theory with coefficients in a Rost cycle module and
provide a... | Equivariant pretheories and invariants of torsors | equivariant pretheories and invariants of torsors | notion equivariant pretheory equivariant chow equivariant equivariant algebraic cobordism. extend equivariant homology rost module merkurjev equivariant theory. generalize karpenko merkurjev torsors rational cycles torsor equivariant pretheory associate graded serves chow encodes concerning motivic grothendieck indexes... | non_dup | [] |
2136034 | 10.1007/s00031-012-9181-x | In this paper we study the structure of cohomology spaces for the Frobenius
kernels of unipotent and parabolic algebraic group schemes and of their quantum
analogs. Given a simple algebraic group $G$, a parabolic subgroup $P_J$, and
its unipotent radical $U_J$, we determine the ring structure of the cohomology
ring $H^... | Cohomology for infinitesimal unipotent algebraic and quantum groups | cohomology for infinitesimal unipotent algebraic and quantum groups | cohomology frobenius kernels unipotent parabolic algebraic schemes analogs. algebraic parabolic subgroup unipotent radical cohomology bullet bullet lambda module lambda module lambda closure alcove. generalizations pages. proofs streamlined version. proofs | non_dup | [] |
2187089 | 10.1007/s00031-012-9184-7 | Let G be a simple algebraic group over an algebraically closed field of good
odd characteristic, and let theta be an automorphism of G arising from an
involution of its Dynkin diagram. We show that the spherical theta-twisted
conjugacy classes are precisely those intersecting only Bruhat cells
corresponding to twisted ... | On spherical twisted conjugacy classes | on spherical twisted conjugacy classes | algebraic algebraically theta automorphism arising involution dynkin diagram. spherical theta twisted conjugacy precisely intersecting bruhat twisted involutions weyl group. analogue statement fails triality case. generalize spherical twisted conjugacy polished. | non_dup | [] |
2255074 | 10.1007/s00031-012-9202-9 | We discuss symplectic cutting for Hamiltonian actions of non-Abelian compact
groups. By using a degeneration based on the Vinberg monoid we give, in good
cases, a global quotient description of a surgery construction introduced by
Woodward and Meinrenken, and show it can be interpreted in algebro-geometric
terms. A key... | On Non-Abelian Symplectic Cutting | on non-abelian symplectic cutting | symplectic cutting abelian groups. degeneration vinberg monoid quotient woodward meinrenken interpreted algebro geometric terms. ingredient universal cotangent bundle moduli framed bundles chains projective edits groups. pages | non_dup | [] |
6206769 | 10.1007/s00031-013-9221-1 | We use equivariant localization and divided difference operators to determine
formulas for the torus-equivariant fundamental cohomology classes of $K$-orbit
closures on the flag variety $G/B$, where $G = GL(n,\C)$, and where $K$ is one
of the symmetric subgroups $O(n,\C)$ or $Sp(n,\C)$. We realize these orbit
closures ... | K-orbit closures on G/B as universal degeneracy loci for flagged vector
bundles with symmetric or skew-symmetric bilinear form | k-orbit closures on g/b as universal degeneracy loci for flagged vector bundles with symmetric or skew-symmetric bilinear form | equivariant localization divided formulas torus equivariant cohomology orbit closures flag subgroups realize orbit closures universal degeneracy loci bundle equipped flag subbundles nondegenerate skew bilinear trivial bundle. equivariant formulas interpreted giving formulas loci chern minor revisions referees. | non_dup | [] |
5255578 | 10.1007/s00031-013-9240-y | We construct and study a family of toric degenerations of the algebra of
conformal blocks for a stable marked curve $(C, \vec{p})$ with structure group
$SL_3(\mathbb{C}).$ We find that this algebra is Gorenstein. For the genus $0,
1$ cases we find the level of conformal blocks necessary to generate the
algebra. In the ... | The algebra of $SL_3(\mathbb{C})$ conformal blocks | the algebra of $sl_3(\mathbb{c})$ conformal blocks | toric degenerations conformal blocks marked mathbb gorenstein. genus conformal blocks algebra. genus bounds algebra. recover polyhedral counting conformal blocks originally senechal mathieu kirillov pages | non_dup | [] |
51959792 | 10.1007/s00031-014-9253-1 | International audienceLet $W$ be a finite-dimensional representation of a reductive algebraic group $G$. The invariant Hilbert scheme $\mathcal{H}$ is a moduli space that classifies the $G$-stable closed subschemes $Z$ of $W$ such that the affine algebra $k[Z]$ is the direct sum of simple $G$-modules with prescribed mu... | Invariant Hilbert schemes and desingularizations of quotients by classical groups | invariant hilbert schemes and desingularizations of quotients by classical groups | audiencelet reductive algebraic hilbert mathcal moduli classifies subschemes affine modules prescribed multiplicities. acting isomorphic module. families mathcal hilbert chow morphism gamma mathcal rightarrow canonical desingularization categorical quotient | non_dup | [] |
78058183 | 10.1007/s00031-014-9260-2 | P. Deligne defined interpolations of the tensor category of representations of the symmetric group S [subscript n] to complex values of n. Namely, he defined tensor categories Rep(S [subscript t]) for any complex t. This construction was generalized by F. Knop to the case of wreath products of S[subscript n] with a fin... | Representation Theory in Complex Rank, I | representation theory in complex rank, i | deligne interpolations representations subscript categories subscript knop wreath subscript group. generalizing propose interpolating categories algebras subscript degenerate affine hecke algebras symplectic reflection algebras rational cherednik algebras etc. subscript propose schur weyl duality subscript .national fo... | non_dup | [] |
83228173 | 10.1007/s00031-014-9263-z | We show that the normalized supercharacters of principal admissible modules over the affine Lie superalgebra sℓˆ[subscript 2|1] (resp. psℓˆ[subscript 2|2]) can be modified, using Zwegers’ real analytic corrections, to form a modular (resp. S-) invariant family of functions. Applying the quantum Hamiltonian reduction,... | REPRESENTATIONS OF AFFINE SUPERALGEBRAS AND MOCK THETA FUNCTIONS | representations of affine superalgebras and mock theta functions | supercharacters principal admissible modules affine superalgebra subscript resp. psℓˆ subscript zwegers’ analytic modular resp. functions. modules resp.n superconformal algebras subscript subscript resp. subscript subscript characters supercharacters modular | non_dup | [] |
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