Generic Cohen-Macaulay monomial ideals
交换代数
2007-05-23 v1 组合数学
摘要
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.
引用
@article{arxiv.math/0308113,
title = {Generic Cohen-Macaulay monomial ideals},
author = {Abdul Salam Jarrah and Reinhard Laubenbacher},
journal= {arXiv preprint arXiv:math/0308113},
year = {2007}
}
备注
18 pages, 8 figures