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arXiv · 1204.5565

Toric rings arising from cyclic polytopes

Takayuki Hibi·Akihiro Higashitani·Lukas Katth"an·Ryota Okazaki
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Abstract

In the present paper, we consider the problem when the toric ring arising from an integral cyclic polytope is Cohen-Macaulay by discussing Serre's condition and we give a complete characterization when that is Gorenstein. Moreover, we study the normality of the other semigroup ring arising from an integral cyclic polytope but generated only with its vertices.

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Takayuki Hibi, Akihiro Higashitani, Lukas Katth"an, Ryota Okazaki. 2012-04-25. Toric rings arising from cyclic polytopes. https://arxiv.org/abs/1204.5565

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