Chain polytopes and algebras with straightening laws

Published 11 Jul 2012 in math.AC and math.CO | (1207.2538v2)

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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