A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces

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

2004-06-28

arxiv.org/abs/math/0406588v1

Mathematics

Commutative Algebra

10 pages. To appear Illinois J. Math

Scientific paper

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.

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