Smooth Fano polytopes whose Ehrhart polynomial has a root with large real part

DOI10.1007/s00454-012-9395-7zbMath1238.52005arXiv1109.0791OpenAlexW1500777531MaRDI QIDQ411396

Hidefumi Ohsugi, Kazuki Shibata

Publication date: 4 April 2012

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

Full work available at URL: https://arxiv.org/abs/1109.0791

zbMATH Keywords

Gröbner basisEhrhart polynomialsmooth relexive polytopesymmetric edge polytope

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items

Symmetric edge polytopes and matching generating polynomials, Ehrhart series for connected simple graphs, Many faces of symmetric edge polytopes, Interlacing Ehrhart polynomials of reflexive polytopes, The equivariant Ehrhart theory of polytopes with order-two symmetries, Facets and facet subgraphs of symmetric edge polytopes, Unnamed Item, Unnamed Item, Ehrhart polynomial roots of reflexive polytopes, The \(h^\ast\)-polynomials of locally anti-blocking lattice polytopes and their \(\gamma\)-positivity

Cites Work

• Counterexamples of the conjecture on roots of Ehrhart polynomials
• Smooth Fano polytopes arising from finite directed graphs
• Roots of Ehrhart polynomials arising from graphs
• Combinatorics and commutative algebra.
• Centrally Symmetric Configurations of Integer Matrices
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