Roots of Ehrhart polynomials of smooth Fano polytopes

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Roots of Ehrhart polynomials of smooth Fano polytopes

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 t...

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Bibliographic Details
Main Authors:	Hegedüs, Gábor, Kasprzyk, Alexander M.
Format:	Article
Published:	Springer-Verlag 2011
Subjects:	Lattice polytope Ehrhart polynomial Nonsingular toric Fano Canonical line hypothesis
Online Access:	https://eprints.nottingham.ac.uk/30735/

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