The Minkowski Property and Reflexivity of Marked Poset Polytopes
Combinatorics
2020-01-28 v2
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.
Keywords
Cite
@article{arxiv.1807.03970,
title = {The Minkowski Property and Reflexivity of Marked Poset Polytopes},
author = {Xin Fang and Ghislain Fourier and Christoph Pegel},
journal= {arXiv preprint arXiv:1807.03970},
year = {2020}
}
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17 pages