Minkowski sum of polytopes and its normality
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Publication:329664
DOI10.2969/JMSJ/06831147zbMATH Open1359.52018arXiv1312.6340OpenAlexW2964063596MaRDI QIDQ329664
Publication date: 21 October 2016
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1312.6340
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Arithmetic rings and other special commutative rings (13F99)
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