Generic Cohen-Macaulay monomial ideals

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Given a simplicial complex, it is easy to construct a generic deformation of its Stanley-Reisner ideal. The main question under investigation in this paper is how to characterize the simplicial complexes such that their Stanley-Reisner ideals have Cohen-Macaulay generic deformations. Algorithms are presented to construct such deformations for matroid complexes, shifted complexes, and tree complexes.
18 pages, 8 figures

Keywords

Commutative Algebra, Combinatorics, 13C14, 52B20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68300

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308113
 http://arxiv.org/abs/math/0308113

Collections

arXiv