2000/08/24 by Jennifer M. Johnson, Janós Kollár, Johnson, Jennifer M. +2 · 2 citations
Mathematics · #14J45 14Q10 (Primary) 32Q20 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG #msc:14J45 #msc:14Q10 #msc:32Q20
paper · pdf · doi:10.48550/arxiv.math/0008189
11 pages, LaTeX
arxiv created 2000/08/24 · openalex publication_date 2000/08/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We determine the complete list of anticanonically embedded quasi smooth log Fano 3-folds in weighted projective 4-spaces. This implies that the Reid-Fletcher list of 95 types of anticanonically embedded quasi smooth terminal Fano threefolds in weighted projective 4-spaces is complete. We also prove that there are only finitely many families of quasi smooth Calabi-Yau hypersurfaces in weighted projective spaces of any given dimension.