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Albanese maps of projective manifolds with nef anticanonical bundles

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arxiv 1612.05921 v3 pith:ROCOW7LK submitted 2016-12-18 math.AG math.CV

Junyan Cao This is my paper · ORCID
classification math.AGmath.CV
keywords albaneseanticanonicalprojectivebundlebundlesisotriviallocallymanifold
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abstract

Let $X$ be a projective manifold such that the anticanonical bundle $-K_X$ is nef. We prove that the Albanese map $p: X \rightarrow Y$ is locally isotrivial. In particular, $p$ is a submersion.

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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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