Smooth Fano polytopes can not be inductively constructed

DOI10.2748/tmj/1215442872zbMath1154.52010OpenAlexW2162548526MaRDI QIDQ940729

Mikkel Øbro

Publication date: 1 September 2008

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1215442872

zbMATH Keywords

Smooth Fano polytopesmooth toric Fano variety

Mathematics Subject Classification ID

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

Related Items

Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers, On Barycentric transformations of Fano polytopes, Smooth polytopes with negative Ehrhart coefficients, Toric Fano varieties associated to building sets, Cohomological rigidity for Fano Bott manifolds, Smooth Fano polytopes arising from finite partially ordered sets, Roots of Ehrhart polynomials of smooth Fano polytopes, Smooth Fano polytopes with many vertices, A bound for the splitting of smooth Fano polytopes with many vertices, Existence of unimodular triangulations — positive results, A polar dual to the momentum of toric Fano manifolds

Cites Work

• A classification of toric varieties with few generators
• On the classification of toric Fano varieties
• On the classification of toric Fano 4-folds
• On the classification of smooth projective toric varieties
• Centrally symmetric generators in toric Fano varieties
• Contractible classes in toric varieties
• Toward the classification of higher-dimensional toric Fano varieties
• Classification of toric Fano 5-folds