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Uniformisation of Foliations by Curves

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Holomorphic Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1998))

Abstract

These lecture notes provide a full discussion of certain analytic aspects of the uniformisation theory of foliations by curves on compact Kähler manifolds, with emphasis on convexity properties and their consequences on positivity properties of the corresponding canonical bundles.

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Authors and Affiliations

  1. IMB - CNRS UMR 5584, 9 Avenue Savary, 21078, Dijon, France

    Marco Brunella

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  1. Marco Brunella
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Correspondence to Marco Brunella .

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Editors and Affiliations

  1. Department of Mathematics "U.Dini", University of Florence, viale Morgagni 67/A, Firenze, 50134, Italy

    Graziano Gentili

  2. Dipartimento di Strutture, Università della Calabria, Ponte Pietro Bucci 39, Arcavacata di Rende (CS), 87036, Italy

    Jacques Guenot

  3. Dipartimento di Matematica "U.Dini", Università di Firenze, viale Morgagni 67/A, Firenze, 50134, Italy

    Giorgio Patrizio

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Brunella, M. (2010). Uniformisation of Foliations by Curves. In: Gentili, G., Guenot, J., Patrizio, G. (eds) Holomorphic Dynamical Systems. Lecture Notes in Mathematics(), vol 1998. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13171-4_3

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