Unimodality questions for integrally closed lattice polytopes
Combinatorics
2011-10-18 v1
Abstract
It is a famous open question whether every integrally closed reflexive polytope has a unimodal Ehrhart delta-vector. We generalize this question to arbitrary integrally closed lattice polytopes and we prove unimodality for the delta-vector of lattice parallelepipeds. This is the first nontrivial class of integrally closed polytopes. Moreover, we suggest a new approach to the problem for reflexive polytopes via triangulations.
Keywords
Cite
@article{arxiv.1110.3724,
title = {Unimodality questions for integrally closed lattice polytopes},
author = {Jan Schepers and Leen Van Langenhoven},
journal= {arXiv preprint arXiv:1110.3724},
year = {2011}
}
Comments
16 pages