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

页码：183 / 196

页数：14

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