TITLE: Proper morphism sending coherent to coherent
QUESTION [8 upvotes]: Hello,
Is there a proof that the push forward by a proper morphism of Noetherian schemes sends coherent sheaves to coherent ones, without passing in the argument through projective morphisms?
Thank you,
Sasha

REPLY [4 votes]: Gerd Faltings, Finiteness of coherent cohomology for proper fppf stacks, J. Algebraic Geometry 12 (2003) 357–366