Toric rings arising from cyclic polytopes
Commutative Algebra
2012-04-26 v1 Combinatorics
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.
Cite
@article{arxiv.1204.5565,
title = {Toric rings arising from cyclic polytopes},
author = {Takayuki Hibi and Akihiro Higashitani and Lukas Katth"an and Ryota Okazaki},
journal= {arXiv preprint arXiv:1204.5565},
year = {2012}
}
Comments
15 pages