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Uniformisation of foliations by curves

2008/02/29 by Marco Brunella, Brunella, Marco
Mathematics · #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG #math.CV #msc:32Q30 #msc:37F75

paper · pdf · doi:10.48550/arxiv.0802.4432

60 pages, 7 figures

arxiv created 2008/02/29 · arxiv updated 2009/12/01

Abstract

These are lecture notes for a course to be held. They provide a full discussion of certain analytic aspects of the uniformisation theory of (singular) holomorphic foliations by curves on compact Kaehler manifolds, with emphasis on their consequences on positivity properties of the corresponding canonical bundles.

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