# A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces

Research paper by C-Y. Jean Chan

Indexed on: 28 Jun '04Published on: 28 Jun '04Published in: Mathematics - Commutative Algebra

#### 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.