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Examples of minimal laminations and associated currents

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Abstract

In this paper, we construct various examples of holomorphic laminations, with leaves of dimension d, and we study some of their dynamical properties. In particular we study existence and uniqueness of positive closed currents. We construct minimal laminations with infinitely many mutually singular closed currents and no non-closed harmonic current. We also consider embeddings to projective space.

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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. Mathematics Department, Université Paris-Sud 11, UMR8628, Batiment 425, 91405, Orsay, France

    Nessim Sibony

  3. Matematisk Institutt, Universitetet i Oslo, Postboks 1053, Blindern, 0316, Oslo, Norway

    Erlend Fornæss Wold

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  1. John Erik Fornæss
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  2. Nessim Sibony
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  3. Erlend Fornæss Wold
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Correspondence to John Erik Fornæss.

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Fornæss, J.E., Sibony, N. & Wold, E.F. Examples of minimal laminations and associated currents. Math. Z. 269, 495–520 (2011). https://doi.org/10.1007/s00209-010-0747-9

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  • DOI: https://doi.org/10.1007/s00209-010-0747-9

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