Small toric degenerations of Fano threefolds

2018/09/07 by Sergey Galkin, Galkin, Sergey
Mathematics · #14D06 #14J33 #14J45 #32G20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1809.02705

openalex publication_date 2018/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify smooth Fano threefolds that admit degenerations to toric Fano threefolds with ordinary double points.

Citations

• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Gorenstein toric Fano varieties
• Terminal Fano threefolds and their smoothings

Related

• The classification of smooth toric weakened Fano 3-folds
• Projecting Fanos in the mirror
• Toric Degenerations of Fano Varieties and Constructing Mirror Manifolds
• Smooth toric Fano five-folds of index two
• Toric G-solid Fano threefolds