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arxiv: 1204.5565 · v1 · pith:UGNOYYMMnew · submitted 2012-04-25 · 🧮 math.AC · math.CO

Toric rings arising from cyclic polytopes

classification 🧮 math.AC math.CO
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.

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