Ehrhart polynomials of polytopes and spectrum at infinity of Laurent polynomials

被引：2
|
作者：
Douai, Antoine [1 ]
机构：
[1] Univ Cote Azur, CNRS, LJAD, Nice, France
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2021年 / 54卷 / 03期
关键词：
Toric varieties; Polytopes; Ehrhart theory; Spectrum of polytopes; Spectrum of regular functions;
D O I：
10.1007/s10801-020-00984-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Gathering different results from singularity theory, geometry and combinatorics, we show that the spectrum at infinity of a tame Laurent polynomial counts (weighted) lattice points in polytopes. We deduce an effective algorithm in order to compute the Ehrhart polynomial of a simplex containing the origin as an interior point.
引用
收藏
页码：719 / 732
页数：14
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