循环图稳定集多面体Ehrhart环的非Gorenstein轨迹和几乎Gorenstein性质

IF 0.6 4区数学 Q3 MATHEMATICS Taiwanese Journal of Mathematics Pub Date : 2022-05-03 DOI:10.11650/tjm/221104

Mitsuhiro Miyazaki

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引用次数: 2

摘要

设$R$是非Gorenstein的循环图的稳定集多面体的Ehrhart环。我们描述了$\mathrm{Spec}R$的非Gorenstein轨迹。此外，我们证明了$R$几乎是Gorenstein。此外，我们还证明了Hibi和Tsuchiya的猜想是正确的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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 $\mathrm{Spec} R$. Further, we show that $R$ is almost Gorenstein. Moreover, we show that the conjecture of Hibi and Tsuchiya is true.

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来源期刊

Taiwanese Journal of Mathematics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.