Centrally symmetric configurations of order polytopes
Commutative Algebra
2016-01-08 v3
Abstract
It is shown that the toric ideal of the centrally symmetric configuration of the order polytope of a finite partially ordered set possesses a squarefree quadratic initial ideal. It then follows that the convex polytope arising from the centrally symmetric configuration of an order polytope is a normal Gorenstein Fano polytope.
Keywords
Cite
@article{arxiv.1409.4386,
title = {Centrally symmetric configurations of order polytopes},
author = {Takayuki Hibi and Kazunori Matsuda and Hidefumi Ohsugi and Kazuki Shibata},
journal= {arXiv preprint arXiv:1409.4386},
year = {2016}
}
Comments
9 pages, Proof of Theorem 2.2 is simplified. Major revision on Section 3