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Preprints, Working Papers, ... Year : 2020

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.

Dates and versions

hal-02998479 , version 1 (10-11-2020)

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