A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces

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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

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Commutative Algebra, 14C17, 14C40, 14C15, 13D10

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http://salesiana.dossiersoluciones.com/handle/123456789/71716

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406588
 http://arxiv.org/abs/math/0406588

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arXiv