Counterexamples of the conjecture on roots of Ehrhart polynomials

DOI10.1007/s00454-011-9390-4zbMath1239.52011arXiv1106.4633OpenAlexW1987805928WikidataQ122939920 ScholiaQ122939920MaRDI QIDQ411392

Akihiro Higashitani

Publication date: 4 April 2012

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4633

zbMATH Keywords

Ehrhart polynomialroot\(\delta\)-vectorintegral convex polytopelattice simplex

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Related Items

Ehrhart series for connected simple graphs ⋮ Interlacing Ehrhart polynomials of reflexive polytopes ⋮ Boundary \({\boldsymbol{H^\ast}}\) -Polynomials of Rational Polytopes ⋮ Smooth Fano polytopes whose Ehrhart polynomial has a root with large real part ⋮ Ehrhart polynomial roots of reflexive polytopes ⋮ Best possible lower bounds on the coefficients of Ehrhart polynomials ⋮ Ehrhart series, unimodality, and integrally closed reflexive polytopes ⋮ Flat \({\delta}\)-vectors and their Ehrhart polynomials ⋮ Sums of squares and varieties of minimal degree

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