Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers

zbMath1493.14084arXiv2005.13795MaRDI QIDQ2119665

Mikiya Masuda, Akihiro Higashitani, Kazuki Kurimoto

Publication date: 30 March 2022

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.13795

zbMATH Keywords

diffeomorphism classificationtoric Fano manifolds

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Fano varieties (14J45) Algebraic topology on manifolds and differential topology (57R19)

Related Items

Cohomological rigidity for Fano Bott manifolds, Relative Ding and K-stability of toric Fano manifolds in low dimensions, GKM manifolds are not rigid, On the sign ambiguity in equivariant cohomological rigidity of GKM graphs, Reconstructing the orbit type stratification of a torus action from its equivariant cohomology

Uses Software

• Magma

Cites Work

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• Smooth Fano polytopes with many vertices
• Rigidity problems in toric topology: a survey
• Convex polytopes, Coxeter orbifolds and torus actions
• The number of vertices of a Fano polytope
• Equivariant cohomology distinguishes toric manifolds
• Smooth Fano polytopes can not be inductively constructed
• Quasitoric manifolds over a product of simplices
• The classification of Fano 3-folds with torus embeddings
• On the classification of toric Fano 4-folds
• On the classification of smooth projective toric varieties
• The Magma algebra system. I: The user language
• Toward the classification of higher-dimensional toric Fano varieties
• Invariance of Pontrjagin classes for Bott manifolds
• Classification of terminal simplicial reflexive \(d\)-polytopes with \(3d-1\) vertices
• When are two Coxeter orbifolds diffeomorphic?
• Classification of Bott Manifolds up to Dimension 8
• Introduction to Toric Varieties. (AM-131)
• Classification problems of toric manifolds via topology
• Semifree circle actions, Bott towers and quasitoric manifolds
• Classification of Toric Manifolds over an n-Cube with One Vertex Cut
• Topological classification of generalized Bott towers
• Cohomological rigidity of manifolds defined by 3-dimensional polytopes
• Toric Topology