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arXiv · 1612.08918

Three-dimensional lattice polytopes with two interior lattice points

Gabriele Balletti·Alexander M. Kasprzyk
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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.

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Gabriele Balletti, Alexander M. Kasprzyk. 2016-12-28. Three-dimensional lattice polytopes with two interior lattice points. https://arxiv.org/abs/1612.08918

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