Regularity of powers of Stanley-Reisner ideals of one-dimensional simplicial complexes

被引：3

作者：

Minh, Nguyen Cong ^{[1
]}

Vu, Thanh ^{[2
,3
]}

机构：

[1] Hanoi Univ Sci & Technol, Dept Math, Hanoi, Vietnam

[2] Hanoi Univ Sci & Technol, Hanoi, Vietnam

[3] Hanoi Univ Sience & Technol, 1 Dai Co Viet, Hanoi, Vietnam

来源：

MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 08期

关键词：

ordinary powers; Stanley-Reisner ideals; symbolic powers; regularity; ASYMPTOTIC-BEHAVIOR;

D O I：

10.1002/mana.202100485

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Delta be a one-dimensional simplicial complex. Let I-Delta be the Stanley-Reisner ideal of Delta. We prove that for all s >= 1 and all intermediate ideals.. generated by I-Delta(S) and some minimal generators of I-Delta((S)), we have reg J = reg I-Delta(S) = regI(Delta)((S)).

引用

页码：3539 / 3558

页数：20

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