TITLE: Complex Hypersurface in Complex Projective Space
QUESTION [14 upvotes]: Apparently 2 smooth complex hypersurface in complex projective space that have the same degree 
are diffeomorphic. Does anyone know where the proof of this can be found ? Is there a counter example for symplectic manifolds?

REPLY [5 votes]: There is a proof of this result in Gompf and Stipsicz's book "4-Manifolds and Kirby Calculus": See Claim 1.3.11.