Linear resolutions of quadratic monomial ideals

被引：14

作者：

Horwitz, Noam ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

JOURNAL OF ALGEBRA | 2007年 / 318卷 / 02期

关键词：

cellular resolutions; monomial resolutions; edge ideals;

D O I：

10.1016/j.jalgebra.2007.06.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the minimal free resolution of a quadratic monomial ideal in the case where the resolution is linear. First, we focus on the squarefree case, namely that of an edge ideal. We provide an explicit minimal free resolution under the assumption that the graph associated with the edge ideal satisfies specific combinatorial conditions. In addition, we construct a regular cellular structure on the resolution. Finally, we extend our results to non-squarefree ideals by means of polarization. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：981 / 1001

页数：21

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