Centrally symmetric configurations of order polytopes

Hibi, Takayuki; Matsuda, Kazunori; Ohsugi, Hidefumi; Shibata, Kazuki

doi:10.1016/j.jalgebra.2015.06.010

arXiv 2014-09-15 DOI 10.1016/j.jalgebra.2015.06.010 0 مشاهدة

Centrally symmetric configurations of order polytopes

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

Commutative Algebra Primary 13P10, Secondary 52B20

الأصل · EN

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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