A decomposition theorem for projective manifolds with nef anticanonical bundle

2017/06/27 by Cao, Junyan, Andreas Höring, Höring, Andreas · 4 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1706.08814

openalex publication_date 2017/06/27 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28

Abstract

Let X be a simply connected projective manifold with nef anticanonical bundle. We prove that X is a product of a rationally connected manifold and a manifold with trivial canonical bundle. As an application we describe the MRC fibration of any projective manifold with nef anticanonical bundle.

Cited by

• Pluripotential geometry on semi-positive effective divisors of numerical dimension one
• Varieties with nef anticanonical divisors and Albanese morphisms of relative dimension one in positive characteristic
• Beauville-Bogomolov decomposition for klt varieties
• Compact Kähler manifolds with nef anti-canonical bundle

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