The classification of smooth toric weakened Fano 3-folds

2002/01/26 by Hiroshi Sato, Hiroshi Satō, Sato, Hiroshi
Mathematics · #14J30 #14J45 #14M25 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG #msc:14J30 #msc:14J45 #msc:14M25

paper · pdf · doi:10.48550/arxiv.math/0201258

14 pages, Latex2e

arxiv created 2002/01/26 · openalex publication_date 2002/01/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We completely classify toric weakened Fano 3-folds, that is, smooth toric weak Fano 3-folds which are not Fano but are deformed to smooth Fano 3-folds. There exist exactly 15 toric weakened Fano 3-folds up to isomorphisms.

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