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Riemann Surface Laminations with Singularities

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Abstract

In these introductory notes we give the basics of the theory of holomorphic foliations and laminations. The emphasis is on the theory of harmonic currents and unique ergodicity for laminations transversally Lipschitz in ℙ2 and for generic holomorphic foliations in ℙ2.

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Authors and Affiliations

  1. Mathematics Department, The University of Michigan, East Hall, Ann Arbor, MI, 48109, USA

    John Erik Fornæss

  2. CNRS UMR8628, Mathematics Department, Université Paris-Sud, Batiment 425, Orsay Cedex, France

    Nessim Sibony

Authors
  1. John Erik Fornæss
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  2. Nessim Sibony
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Correspondence to John Erik Fornæss.

Additional information

This article is dedicated to Gennadi Henkin for his 65th birthday.

John Erik Fornæss is supported by an NSF grant.

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Fornæss, J.E., Sibony, N. Riemann Surface Laminations with Singularities. J Geom Anal 18, 400–442 (2008). https://doi.org/10.1007/s12220-008-9018-y

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