Non-Gorenstein locus and almost Gorenstein property of the Ehrhart ring of the stable set polytope of a cycle graph
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 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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