Roots of Ehrhart Polynomials of Smooth Fano Polytopes

被引：0
|
作者：
Gábor Hegedüs
Alexander M. Kasprzyk
机构：
[1] Austrian Academy of Sciences,Johann Radon Institute for Computational and Applied Mathematics
[2] University of Sydney,School of Mathematics and Statistics
来源：
Discrete & Computational Geometry | 2011年 / 46卷
关键词：
Lattice polytope; Ehrhart polynomial; Nonsingular toric Fano; Canonical line hypothesis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
V. Golyshev conjectured that for any smooth polytope P with dim(P)≤5 the roots z∈ℂ of the Ehrhart polynomial for P have real part equal to −1/2. An elementary proof is given, and in each dimension the roots are described explicitly. We also present examples which demonstrate that this result cannot be extended to dimension six.
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页码：488 / 499
页数：11
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