Hilbert polynomials and cohomology

Other Talks
Wednesday, November 25, 2009 - 13:00
1 hour (actually 50 minutes)
Skiles 255
School of Mathematics, Georgia Tech
We will state Serre's fundamental finiteness and vanishing results for the cohomology of coherent sheaves on a projective algebraic variety. As an application, we'll prove that the constant term of the Hilbert Polynomial does not depend on the projective embedding, a fact which is hard to understand using classical (non-cohomological) methods.