Three-dimensional lattice polytopes with two interior lattice points
Combinatorics
2016-12-30 v1
Abstract
We classify the three-dimensional lattice polytopes with two interior lattice points. Up to unimodular equivalence there are 22,673,449 such polytopes. This classification allows us to verify, for this case only, a conjectural upper bound for the volume of a lattice polytope with interior points, and provides strong evidence for new conjectural inequalities on the coefficients of the Ehrhart polynomial in dimension three.
Cite
@article{arxiv.1612.08918,
title = {Three-dimensional lattice polytopes with two interior lattice points},
author = {Gabriele Balletti and Alexander M. Kasprzyk},
journal= {arXiv preprint arXiv:1612.08918},
year = {2016}
}
Comments
16 pages, 5 figures, 5 tables