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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… Click to show full abstract
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.
Keywords:
ring stable;
stable set;
gorenstein;
polytope cycle;
set polytope;
ehrhart ring
Journal Title: Taiwanese Journal of Mathematics
Year Published: 2022
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Journal Title: Taiwanese Journal of Mathematics
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!