Roots of Ehrhart Polynomials of Smooth Fano Polytopes
Combinatorics
2012-12-21 v1
Abstract
V. Golyshev conjectured that for any smooth polytope P of dimension at most five, the roots 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.
Cite
@article{arxiv.1004.3817,
title = {Roots of Ehrhart Polynomials of Smooth Fano Polytopes},
author = {Gábor Hegedüs and Alexander M. Kasprzyk},
journal= {arXiv preprint arXiv:1004.3817},
year = {2012}
}
Comments
10 pages