SPLITTINGS FOR SYMBOLIC POWERS OF EDGE IDEALS OF COMPLETE GRAPHS

被引：0
|
作者：
Cooper, Susan M. [1 ]
Da Silva, Sergio [2 ]
Gutkin, Max [1 ]
Reimer, Tessa [3 ]
机构：
[1] Univ Manitoba, Dept Math, Winnipeg, MB, Canada
[2] Virginia State Univ, Dept Math & Econ, Petersburg, VA USA
[3] Univ Manitoba, Dept Stat, Winnipeg, MB, Canada
来源：
JOURNAL OF COMMUTATIVE ALGEBRA | 2024年 / 16卷 / 02期
关键词：
Betti numbers; splittings; symbolic powers; edge ideals; BETTI NUMBERS;
D O I：
10.1216/jca.2024.16.183
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the s -th symbolic powers of the edge ideals of complete graphs. In particular, we provide a criterion for finding an Eliahou-Kervaire splitting on these ideals, and we use the splitting to provide a description for the graded Betti numbers. We also discuss the symbolic powers and graded Betti numbers of edge ideals of parallelizations of finite simple graphs.
引用
收藏
页码：183 / 196
页数：14
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