Toric rings arising from cyclic polytopes

Akihiro Higashitani; Lukas Katth"an; Ryota Okazaki; Takayuki Hibi

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Toric rings arising from cyclic polytopes

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arxiv 1204.5565 v1 pith:UGNOYYMM submitted 2012-04-25 math.AC math.CO

Toric rings arising from cyclic polytopes

Takayuki Hibi , Akihiro Higashitani , Lukas Katth"an , Ryota Okazaki This is my paper

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keywords arisingcyclicintegralpolytoperingtoricwhencharacterization

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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.

Toric rings arising from cyclic polytopes

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