Cayley sums and Minkowski sums of lattice polytopes
Combinatorics
2023-07-14 v4 Commutative Algebra
Abstract
In this paper, we discuss the integer decomposition property for Cayley sums and Minkowski sums of lattice polytopes. In fact, we characterize when Cayley sums have the integer decomposition property in terms of Minkowski sums. Moreover, by using this characterization, we consider when Cayley sums and Minkowski sums of -convex-normal lattice polytopes have the integer decomposition property. Finally, we also discuss the level property for Minkowski sums and Cayley sums.
Keywords
Cite
@article{arxiv.1804.10538,
title = {Cayley sums and Minkowski sums of lattice polytopes},
author = {Akiyoshi Tsuchiya},
journal= {arXiv preprint arXiv:1804.10538},
year = {2023}
}
Comments
11 pages, the title is changed, the introduction is shortened, the writing is improved, to appear in SIAM Journal on Discrete Mathematics