Jan Schepers, Leen Van Langenhoven
Published 2011-10-17Version 1
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.
Lattices generated by skeletons of reflexive polytopes
The $δ$-vectors of reflexive polytopes and of the dual polytopes
Ehrhart polynomial roots of reflexive polytopes
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