A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces
Commutative Algebra
2007-05-23 v1
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.
Cite
@article{arxiv.math/0406588,
title = {A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces},
author = {C-Y. Jean Chan},
journal= {arXiv preprint arXiv:math/0406588},
year = {2007}
}
Comments
10 pages. To appear Illinois J. Math