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Threefolds with nef anticanonical bundles

1998/02/05 by Thomas Peternell, Peternell, Thomas, Fernando Serrano +1
Mathematics · #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV

paper · pdf · doi:10.48550/arxiv.math/9802024

plainTex, 47 pages, change in the introduction, paper will be appear in Collectanea mathematica 49, volume in honour of F.Serrano

arxiv created 1998/02/24 · arxiv updated 2009/11/30

Abstract

We prove that the Albanese map of a smooth projective threefold, whose anticanonical bundle is nef, is a surjective submersion. We also investigate morphisms of threefolds to curves and surfaces whose relative anticanonical bundle are nef.

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