Uniformisation of foliations by curves
Marco Brunella
TL;DR
This paper discusses the uniformisation theory of singular holomorphic foliations on compact Kähler manifolds, focusing on analytic aspects and implications for the positivity of canonical bundles.
Contribution
It provides a comprehensive analysis of the uniformisation of foliations by curves and explores their impact on the positivity properties of canonical bundles.
Findings
Analytic aspects of foliation uniformisation are thoroughly discussed
Implications for positivity of canonical bundles are examined
Provides foundational insights for further research in foliation theory
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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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Algebraic Geometry and Number Theory