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Hyperbolicity of geometric orbifolds
Author(s):
Erwan
Rousseau
Journal:
Trans. Amer. Math. Soc.
362
(2010),
3799-3826.
MSC (2000):
Primary 14D06, 32H30, 32Q45
Posted:
February 24, 2010
MathSciNet review:
2601610
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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
DOI:
10.1090/S0002-9947-10-05019-1
PII:
S 0002-9947(10)05019-1
Keywords:
Orbifolds,
Kobayashi hyperbolicity,
entire curves
Received by editor(s):
September 15, 2008
Posted:
February 24, 2010
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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