Rational Ehrhart theory

zbMath1515.52009arXiv2110.10204MaRDI QIDQ6103810

Sophia Elia, Matthias Beck, Sophie Rehberg

Publication date: 5 June 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.10204

zbMATH Keywords

rational polytopeGorenstein polytopeinteger lattice pointEhrhart quasipolynomialrational Ehrhart series

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Cites Work

• Reflexive polytopes of higher index and the number 12
• Rational Ehrhart quasi-polynomials
• \(h\)-vectors of Gorenstein polytopes
• Weighted Ehrhart theory and orbifold cohomology
• A note on palindromic delta-vectors for certain rational polytopes
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• Hilbert functions of graded algebras
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• Polytopes, Rings, and K-Theory
• Dual Cones and Mirror Symmetry for Generalized Calabi-Yau Manifolds
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Combinatorial Reciprocity Theorems
• INTERMEDIATE SUMS ON POLYHEDRA: COMPUTATION AND REAL EHRHART THEORY
• Computing the Continuous Discretely
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