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).
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页码：2603 / 2613
页数：11
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