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arXiv · 1807.03970

The Minkowski Property and Reflexivity of Marked Poset Polytopes

Xin Fang·Ghislain Fourier·Christoph Pegel
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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.

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Xin Fang, Ghislain Fourier, Christoph Pegel. 2020-01-27. The Minkowski Property and Reflexivity of Marked Poset Polytopes. https://doi.org/10.37236/8144

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