On the Castelnuovo-Mumford regularity of ideals, in dimension 2

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give a bound on the Castelnuovo-Mumford regularity of a homogeneous ideals I, in a polynomial ring A, in terms of number of variables and the degrees of generators, when the dimension of A/I is at most two. This bound improves the one obtained by Caviglia and Sbarra in this case. In the continuation of the examples constructed by Clare D'Cruz and the first author, we use families of monomial curves to construct homogeneous ideals showing that these bounds are quite sharp.
5 pages

Keywords

Commutative Algebra, Algebraic Geometry, 13D02; 14Q05; 14Q20; 13C40; 14H50; 13P10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/74748

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503740
 http://arxiv.org/abs/math/0503740

Collections

arXiv