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arXiv · 1508.02456

Foliations with positive slopes and birational stability of orbifold cotangent bundles

Frederic Campana·Mihai Paun
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Abstract

In this article we consider log canonical pairs which are log-smooth. If the corresponding canonical bundle is pseudo-effective, then we show that any quotient of the orbifold cotangent bundle of the pair has a pseudo-effective determinant. One of the new ingredients in the proof is a generalization of the Bogomolov-McQuillan algebraicity criterion in the context of holomorphic foliations whose minimal slope with respect to a movable class is positive.

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Frederic Campana, Mihai Paun. 2015-08-11. Foliations with positive slopes and birational stability of orbifold cotangent bundles. https://arxiv.org/abs/1508.02456

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