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A decomposition theorem for projective manifolds with nef anticanonical bundle

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arxiv 1706.08814 v1 pith:2NXWD4II submitted 2017-06-27 math.AG math.CV

Junyan Cao (IMJ-PRG) , Andreas Höring (JAD) This is my paper · ORCID
classification math.AGmath.CV
keywords bundlemanifoldanticanonicalprojectiveconnectedapplicationcanonicaldecomposition
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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.

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  1. On projective manifolds with pseudo-effective tangent bundle

    math.AG 2019-08 conditional novelty 7.0 of 10

    Projective manifolds with pseudo-effective tangent bundle admit a smooth fibration to a flat projective manifold with rationally connected general fiber, and all minimal such surfaces are classified.

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