中文

A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces

交换代数 2007-05-23 v1

摘要

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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引用

@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}
}

备注

10 pages. To appear Illinois J. Math