Betti numbers of monomial ideals via facet covers

被引：4
|
作者：
Erey, Nursel [1 ]
Faridi, Sara [1 ]
机构：
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 4R2, Canada
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2016年 / 220卷 / 05期
基金：
加拿大自然科学与工程研究理事会;
关键词：
COHEN-MACAULAY; RESOLUTIONS; TREES;
D O I：
10.1016/j.jpaa.2015.10.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a combinatorial condition that ensures a monomial ideal has a nonzero Betti number in a given multidegree. As a result, we combinatorially characterize all multigraded Betti numbers, projective dimension and regularity of facet ideals of simplicial forests. Our condition is expressed in terms of minimal facet covers of simplicial complexes. (C) 2015 Elsevier B.V. All rights reserved.
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页码：1990 / 2000
页数：11
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