Foliations with positive slopes and birational stability of orbifold\n cotangent bundles

2015/08/10 by Frédéric Campana, Mihai Păun, Campana, Frederic +1 · 7 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1508.02456

openalex publication_date 2015/08/10 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

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

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