The root distributions of Ehrhart polynomials of free sums of reflexive polytopes

DOI10.37236/10795OpenAlexW3203889541MaRDI QIDQ2161215

Akihiro Higashitani, Yumi Yamada, Masahiro Hachimori

Publication date: 4 August 2022

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

Full work available at URL: https://arxiv.org/abs/2110.03579

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Lattices and convex bodies (number-theoretic aspects) (11H06) Real polynomials: location of zeros (26C10)

Cites Work

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• Roots of Ehrhart polynomials arising from graphs
• An Ehrhart series formula for reflexive polytopes
• Two poset polytopes
• Dual polytopes of rational convex polytopes
• Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines. (Growth series and Ehrhart polynomials associated to root lattices)
• Ehrhart polynomial roots of reflexive polytopes
• On the Charney-Davis and Neggers-Stanley conjectures
• Counting lattice points in free sums of polytopes
• Interlacing Ehrhart polynomials of reflexive polytopes
• Root Polytopes and Growth Series of Root Lattices
• Computing the Continuous Discretely
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• On the zeros of certain polynomials
• Eulerian Numbers