Special simplices and Gorenstein toric rings |
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| Authors: | Hidefumi Ohsugi |
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| Institution: | a Department of Mathematics, Faculty of Science, Rikkyo University, Toshima, Tokyo 171-8501, Japan
b Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan |
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| Abstract: | Athanasiadis Ehrhart polynomials, simplicial polytopes, magic squares and a conjecture of Stanley, J. Reine Angew. Math., to appear.] studies an effective technique to show that Gorenstein sequences coming from compressed polytopes are unimodal. In the present paper we will use such the technique to find a rich class of Gorenstein toric rings with unimodal h-vectors arising from finite graphs. |
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| Keywords: | Edge polytope Stable polytope Gorenstein toric ring Unimodal sequence Special simplex |
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