A decomposition theorem for projective manifolds with nef anticanonical bundle

Author:

Cao Junyan,Höring Andreas

Abstract

Let X X be a simply connected projective manifold with nef anticanonical bundle. We prove that X 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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

Reference35 articles.

1. Variétés Kähleriennes dont la première classe de Chern est nulle;Beauville, Arnaud;J. Differential Geom.,1983

2. Curvature of vector bundles associated to holomorphic fibrations;Berndtsson, Bo;Ann. of Math. (2),2009

3. Nef reduction and anticanonical bundles;Bauer, Thomas;Asian J. Math.,2004

4. Bergman kernels and the pseudoeffectivity of relative canonical bundles;Berndtsson, Bo;Duke Math. J.,2008

5. Orbifolds, special varieties and classification theory;Campana, Frédéric;Ann. Inst. Fourier (Grenoble),2004

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