On the Betti numbers of the tangent cones for Gorenstein monomial curves

被引：0

作者：

Mete, Pinar ^{[1
]}

机构：

[1] Balikesir Univ, Dept Math, TR-10145 Balikesir, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 06期

关键词：

Gorenstein monomial curves; tangent cones; Betti numbers; COHEN-MACAULAYNESS; SEMIGROUP;

D O I：

10.3906/mat-2105-32

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of the article is to study the Betti numbers of the tangent cone of Gorenstein monomial curves in affine 4-space. If C-S is a noncomplete intersection Gorenstein monomial curve whose tangent cone is Cohen-Macaulay, we show that the possible Betti sequences are (1,5,5,1), (1,5,6,2) and (1,6,8,3).

引用

页码：2603 / 2613

页数：11