A smooth, complete threefold with no nontrivial nef line bundles

2005/01/13 by Sam Payne, Payne, Sam
Mathematics · #14C20 #14M25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14C20 #msc:14M25

paper · pdf · doi:10.48550/arxiv.math/0501204

3 pages, 1 figure

arxiv created 2005/01/13 · openalex publication_date 2005/01/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a smooth, complete toric threefold with no nontrivial nef line bundles. This is a counterexample to a recent conjecture of Fujino.

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