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

共 50 条

[31] Arithmetical Ranks of Stanley-Reisner Ideals Via Linear Algebra
Barile, Margherita
COMMUNICATIONS IN ALGEBRA, 2008, 36 (12) : 4540 - 4556
[32] Stellar subdivisions and Stanley-Reisner rings of Gorenstein complexes
Boehm, Janko
Papadakis, Stavros Argyrios
AUSTRALASIAN JOURNAL OF COMBINATORICS, 2013, 55 : 235 - 247
[33] Euler characteristic of coherent sheaves on simplicial torics via the Stanley-Reisner ring
Schenck, Hal
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (11)
[34] Local cohomology of Stanley-Reisner rings with supports in general monomial ideals
Reiner, V
Welker, V
Yanagawa, K
JOURNAL OF ALGEBRA, 2001, 244 (02) : 706 - 736
[35] THE STANLEY-REISNER IDEALS OF POLYGONS AS SET-THEORETIC COMPLETE INTERSECTIONS
Barile, Margherita
Terai, Naoki
COMMUNICATIONS IN ALGEBRA, 2011, 39 (02) : 621 - 633
[36] ON THE k-BUCHSBAUM PROPERTY OF POWERS OF STANLEY REISNER IDEALS
Nguyen Cong Minh
Nakamura, Yukio
NAGOYA MATHEMATICAL JOURNAL, 2014, 213 : 127 - 140
[37] Graded Linearity of Stanley-Reisner Ring of Broken Circuit Complexes
Reza-Rahmati, Mohammad
Flores, Gerardo
JOURNAL OF MATHEMATICS, 2022, 2022
[38] Arnold's Piecewise Linear Filtrations, Analogues of Stanley-Reisner Rings and Simplicial Newton Polyhedra
Kushnirenko, Anatoly
MATHEMATICS, 2022, 10 (23)
[39] Simple non-mixed hypergraphs, simplified scalable complexes and Stanley-Reisner rings
Cruz, Roberto
Reyes, Enrique
BOLETIN DE MATEMATICAS, 2011, 18 (01): : 71 - 84
[40] On the dimension of dual modules of local cohomology and the Serre's condition for the unmixed Stanley-Reisner ideals of small height
Pournaki, M. R.
Poursoltani, M.
Terai, N.
Yassemi, S.
JOURNAL OF ALGEBRA, 2023, 632 : 751 - 782

← 1 2 3 4 5 →