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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Hyperbolicity of geometric orbifolds
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by Erwan Rousseau PDF
Trans. Amer. Math. Soc. 362 (2010), 3799-3826 Request permission

Abstract:

We study complex hyperbolicity in the setting of geometric orbifolds introduced by F. Campana. Generalizing classical methods to this context, we obtain degeneracy statements for entire curves with ramification in situations where no Second Main Theorem is known from value distribution theory.
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Additional Information
  • Erwan Rousseau
  • Affiliation: Département de Mathématiques, IRMA, Université Louis Pasteur, 7, rue René Descartes, 67084 Strasbourg Cedex, France
  • Email: rousseau@math.u-strasbg.fr
  • Received by editor(s): September 15, 2008
  • Published electronically: February 24, 2010
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 362 (2010), 3799-3826
  • MSC (2000): Primary 14D06, 32H30, 32Q45
  • DOI: https://doi.org/10.1090/S0002-9947-10-05019-1
  • MathSciNet review: 2601610