Hilbert functions of irreducible arithmetically Gorenstein schemes

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this paper we compute the Hilbert functions of irreducible (or smooth) and reduced arithmetically Gorenstein schemes that are twisted anti-canonical divisors on arithmetically Cohen-Macaulay schemes. We also prove some folklore results characterizing the Hilbert functions of irreducible standard determinantal schemes, and we use them to produce a new class of functions that occur as Hilbert functions of irreducible (or smooth) and reduced arithmetically Gorenstein schemes in any codimension.
17 pages, to appear in Journal of Algebra

Keywords

Algebraic Geometry, Commutative Algebra, 14M05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68362

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308208
 http://arxiv.org/abs/math/0308208

Collections

arXiv