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arXiv · 2006.05225

A Nonvanishing Conjecture for Cotangent Bundles

Andreas Höring·Thomas Peternell
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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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Andreas Höring, Thomas Peternell. 2020-06-09. A Nonvanishing Conjecture for Cotangent Bundles. https://arxiv.org/abs/2006.05225

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