The Minkowski Property and Reflexivity of Marked Poset Polytopes
arXiv:1807.03970 · doi:10.37236/8144
Abstract
We provide a Minkowski sum decomposition of marked chain-order polytopes into building blocks associated to elementary markings and thus give an explicit minimal set of generators of an associated semi-group algebra. We proceed by characterizing the reflexive polytopes among marked chain-order polytopes as those with the underlying marked poset being ranked.
17 pages