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A decomposition theorem for projective manifolds with nef anticanonical bundle

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.
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https://hal.archives-ouvertes.fr/hal-01547826
Contributor : Andreas Höring <>
Submitted on : Tuesday, June 27, 2017 - 10:16:40 AM
Last modification on : Tuesday, May 26, 2020 - 6:50:52 PM
Document(s) archivé(s) le : Wednesday, January 17, 2018 - 7:24:45 PM

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  • HAL Id : hal-01547826, version 1
  • ARXIV : 1706.08814

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Junyan Cao, Andreas Höring. A decomposition theorem for projective manifolds with nef anticanonical bundle. 2017. ⟨hal-01547826⟩

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