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A Nonvanishing Conjecture for Cotangent Bundles

Abstract : In this paper we study the positivity of the cotangent bundle of projective manifolds. We conjecture that the cotangent bundle is pseudoeffective if and only the manifold has non-zero symmetric differentials. We confirm this conjecture for most projective surfaces that are not of general type.
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Preprints, Working Papers, ...
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https://hal.univ-cotedazur.fr/hal-02998479
Contributor : Andreas Höring <>
Submitted on : Tuesday, November 10, 2020 - 3:14:33 PM
Last modification on : Thursday, November 12, 2020 - 12:11:43 PM

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  • HAL Id : hal-02998479, version 1
  • ARXIV : 2006.05225

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Andreas Höring, Thomas Peternell. A Nonvanishing Conjecture for Cotangent Bundles. 2020. ⟨hal-02998479⟩

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