paper

A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces

arXiv:math/0406588

Abstract

We construct isomorphisms of the Grothendieck group of a projective space and other groups related to Hilbert polynomials and total Chern classes. This is inspired by a correspondence between Chern and Hilbert polynomials stated in Eisenbud's Commutative Algebra. The equivalence of these two polynomials over the projective spaces is also discussed in this paper.

10 pages. To appear Illinois J. Math

A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces · wovepaper