Non-Gorenstein Locus and Almost Gorenstein Property of the Ehrhart Ring of the Stable Set Polytope of a Cycle Graph

被引：2
|
作者：
Miyazaki, Mitsuhiro [1 ]
机构：
[1] Kyoto Univ Educ, Dept Math, 1 Fujinomori,Fukakusa,Fushimi Ku, Kyoto 6128522, Japan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2023年 / 27卷 / 03期
关键词：
cycle graph; almost Gorenstein; non-Gorenstein locus; stable set polytope; Ehrhart ring; HILBERT-FUNCTIONS;
D O I：
10.11650/tjm/221104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be the Ehrhart ring of the stable set polytope of a cycle graph which is not Gorenstein. We describe the non-Gorenstein locus of Spec R. Further, we show that R is almost Gorenstein. Moreover, we show that the conjecture of Hibi and Tsuchiya is true.
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页码：441 / 459
页数：19
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