Ehrhart polynomial roots of reflexive polytopes

zbMath1497.52019arXiv1503.05739MaRDI QIDQ1732033

Gábor Hegedüs, Akihiro Higashitani, Alexander M. Kasprzyk

Publication date: 15 March 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05739

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Related Items

The root distributions of Ehrhart polynomials of free sums of reflexive polytopes, Decompositions of Ehrhart \(h^*\)-polynomials for rational polytopes, Computing Galois groups of Ehrhart polynomials in OSCAR, Some Fano manifolds whose Hilbert polynomial is totally reducible over ℚ, The distribution of roots of Ehrhart polynomials for the dual of root polytopes of type \(C\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Counterexamples of the conjecture on roots of Ehrhart polynomials
• Smooth Fano polytopes whose Ehrhart polynomial has a root with large real part
• Reflexive polytopes of higher index and the number 12
• Roots of Ehrhart polynomials arising from graphs
• Roots of Ehrhart polynomials of smooth Fano polytopes
• Complete classification of reflexive polyhedra in four dimensions
• Bounds on fake weighted projective space
• A lower bound theorem for Ehrhart polynomials of convex polytopes
• Weighted projective spaces and reflexive simplices
• Notes on the roots of Ehrhart polynomials
• Norm bounds for Ehrhart polynomial roots
• On the canonical strip
• SINGULAR TORIC FANO VARIETIES
• Decompositions of Rational Convex Polytopes
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• On the zeros of certain polynomials
• Sur un probl?me de g?om?trie diophantienne lin?aire. I. Poly?dres et r?seaux.
• Polynomials Associated with Finite Gell-Complexes