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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Tangencies between holomorphic maps and holomorphic laminations
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by A. Eremenko and A. Gabrielov PDF
Proc. Amer. Math. Soc. 138 (2010), 2489-2492 Request permission

Abstract:

We prove that the set of leaves of a holomorphic lamination of codimension one that are tangent to a germ of a holomorphic map is discrete.
References
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Additional Information
  • A. Eremenko
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
  • MR Author ID: 63860
  • Email: eremenko@math.purdue.edu
  • A. Gabrielov
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
  • MR Author ID: 335711
  • Email: agabriel@math.purdue.edu
  • Received by editor(s): October 25, 2008
  • Received by editor(s) in revised form: October 28, 2009
  • Published electronically: February 12, 2010
  • Additional Notes: The first author was supported by NSF grant DMS-0555279
    The second author was supported by NSF grant DMS-0801050.
  • Communicated by: Mario Bonk
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 2489-2492
  • MSC (2010): Primary 32B99; Secondary 37F99
  • DOI: https://doi.org/10.1090/S0002-9939-10-10328-1
  • MathSciNet review: 2607878