Threefolds with nef anticanonical bundles

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.

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

Cited by in corpus (6)

• Varieties with generically nef tangent bundles
• Nef reduction and anticanonical bundles
• Endomorphisms of projective varieties
• Manifolds with nef anticanonical bundle
• On Pseudo-Effectivity of the Second Chern Classes for Smooth Threefolds
• On the canonical threefolds with strictly nef anticanonical divisors