Proof of a conjecture of Batyrev and Juny on Gorenstein polytopes

DOI10.1007/S00454-023-00575-0MaRDI QIDQ6642297

Benjamin Nill

Publication date: 22 November 2024

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

zbMATH Keywords

degreeMinkowski sumsGorenstein polytopeslattice polytopesreflexive polytopesCayley polytopes

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

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• The mixed degree of families of lattice polytopes
• Polyhedral adjunction theory
• Lower bounds on the coefficients of Ehrhart polynomials
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• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• On Calabi-Yau Complete Intersections in Toric Varieties
• Classification of Gorenstein Toric Del Pezzo Varieties in arbitrary dimension
• Computing the Continuous Discretely

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