Centrally symmetric configurations of order polytopes
arXiv:1409.4386 · doi:10.1016/j.jalgebra.2015.06.010
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.
9 pages, Proof of Theorem 2.2 is simplified. Major revision on Section 3
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- Reflexive polytopes arising from bipartite graphs with -positivity associated to interior polynomials
- Quadratic Gröbner bases of twinned order polytopes
- Markov chain Monte Carlo methods for the Box-Behnken designs and centrally symmetric configurations
- Enriched chain polytopes
- Enriched order polytopes and Enriched Hibi rings
- Gorenstein matroids