Chain polytopes and algebras with straightening laws
Commutative Algebra
2012-11-01 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.1207.2538,
title = {Chain polytopes and algebras with straightening laws},
author = {Takayuki Hibi and Nan Li},
journal= {arXiv preprint arXiv:1207.2538},
year = {2012}
}