Minkowski sum of polytopes and its normality
Combinatorics
2014-07-18 v2 Commutative Algebra
Metric Geometry
Abstract
In this paper, we consider the normality or the integer decomposition property (IDP, for short) for Minkowski sums of integral convex polytopes. We discuss some properties on the toric rings associated with Minkowski sums of integral convex polytopes. We also study Minkowski sums of edge polytopes and give a sufficient condition for Minkowski sums of edge polytopes to have IDP.
Keywords
Cite
@article{arxiv.1312.6340,
title = {Minkowski sum of polytopes and its normality},
author = {Akihiro Higashitani},
journal= {arXiv preprint arXiv:1312.6340},
year = {2014}
}
Comments
14 pages, 3 figures, I welcome many comments