Ehrhart polynomials of polytopes and spectrum at infinity of Laurent polynomials
Combinatorics
2018-12-12 v2 Algebraic Geometry
Abstract
Gathering different results from singularity theory, geometry and combinatorics, we show that the spectrum at infinity of a tame Laurent polynomial counts lattice points in polytopes and we deduce an effective algorithm in order to compute the Ehrhart polynomial of a simplex containing the origin as an interior point.
Keywords
Cite
@article{arxiv.1811.07724,
title = {Ehrhart polynomials of polytopes and spectrum at infinity of Laurent polynomials},
author = {Antoine Douai},
journal= {arXiv preprint arXiv:1811.07724},
year = {2018}
}
Comments
References updated. Two remarks on the distribution (unimodality, variance) of the spectrum at infinity added