Toric rings arising from cyclic polytopes

Details Toric rings arising from cyclic polytopes Toric rings arising from cyclic polytopes

2012-04-25

arxiv.org/abs/1204.5565v1

Mathematics

Commutative Algebra

15 pages

Scientific paper

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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