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arXiv · 1811.07724

Ehrhart polynomials of polytopes and spectrum at infinity of Laurent polynomials

Antoine Douai
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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.

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Antoine Douai. 2018-12-11. Ehrhart polynomials of polytopes and spectrum at infinity of Laurent polynomials. https://arxiv.org/abs/1811.07724

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