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)).
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页码：3539 / 3558
页数：20
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