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arXiv · 1207.2538

Chain polytopes and algebras with straightening laws

Takayuki Hibi·Nan Li
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Abstract

It will be shown that the toric ring of the chain polytope of a finite partially ordered set is an algebra with straightening laws on a finite distributive lattice. Thus in particular every chain polytope possesses a regular unimodular triangulation arising from a flag complex.

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Takayuki Hibi, Nan Li. 2012-10-30. Chain polytopes and algebras with straightening laws. https://arxiv.org/abs/1207.2538

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