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arXiv · 2108.11132

Ehrhart quasi-polynomials of almost integral polytopes

Christopher de Vries·Masahiko Yoshinaga
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Abstract

A lattice polytope translated by a rational vector is called an almost integral polytope. In this paper we investigate Ehrhart quasi-polynomials of almost integral polytopes. We study the relationship between the shape of the polytopes and algebraic properties of the Ehrhart quasi-polynomials. In particular, we prove that lattice zonotopes and centrally symmetric lattice polytopes are characterized by Ehrhart quasi-polynomials of their rational translations.

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Christopher de Vries, Masahiko Yoshinaga. 2023-08-30. Ehrhart quasi-polynomials of almost integral polytopes. https://arxiv.org/abs/2108.11132

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