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arXiv · 1409.4386

Centrally symmetric configurations of order polytopes

Takayuki Hibi·Kazunori Matsuda·Hidefumi Ohsugi·Kazuki Shibata
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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.

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Takayuki Hibi, Kazunori Matsuda, Hidefumi Ohsugi, Kazuki Shibata. 2015-04-04. Centrally symmetric configurations of order polytopes. https://doi.org/10.1016/j.jalgebra.2015.06.010

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