## Roots of Ehrhart polynomials of smooth Fano polytopes

Hegedüs, Gábor and Kasprzyk, Alexander M. (2011) Roots of Ehrhart polynomials of smooth Fano polytopes. Discrete & Computational Geometry, 46 (3). pp. 488-499. ISSN 1432-0444

Full text not available from this repository.

## Abstract

V. Golyshev conjectured that for any smooth polytope P of dimension at most five, the roots $z\in\C$ 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.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/1009627
Keywords: Lattice polytope, Ehrhart polynomial, Nonsingular toric Fano, Canonical line hypothesis
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1007/s00454-010-9275-y
Related URLs:
URLURL Type