论文标题
稳定套环的ehrhart环的非戈伦斯坦基因座和几乎gorenstein特性
Non-Gorenstein locus and almost Gorenstein property of the Ehrhart ring of the stable set polytope of a cycle graph
论文作者
论文摘要
令$ r $为不是戈伦斯坦(Gorenstein)的稳定套件的Ehrhart环。我们描述了$ \ mathrm {spec} r $的非Gorenstein基因座。此外,我们表明$ r $几乎是戈伦斯坦。此外,我们证明了hibi和tsuchiya的猜想是真的。
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.