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A unicity theorem for meromorphic maps of a complete Kähler manifold into $ \mathbb{P}^n(\mathbb{C})$ sharing hypersurfaces


Authors: Min Ru and Suraizou Sogome
Journal: Proc. Amer. Math. Soc. 141 (2013), 4229-4239
MSC (2010): Primary 32H30; Secondary 53A10
Published electronically: August 1, 2013
MathSciNet review: 3105866
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Abstract: In this paper, we give a unicity theorem for meromorphic maps of an $ m-$dimensional complete Kähler manifold $ M$, whose universal covering is a ball in $ \mathbb{C}^m$, into $ \mathbb{P}^n(\mathbb{C})$, sharing the hypersurfaces in general position in $ \mathbb{P}^n(\mathbb{C})$, where the maps satisfy a certain growth condition.


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Additional Information

Min Ru
Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204
Email: minru@math.uh.edu

Suraizou Sogome
Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204
Email: Suraizou.Sogome@lonestar.edu

DOI: https://doi.org/10.1090/S0002-9939-2013-11718-1
Received by editor(s): October 17, 2011
Received by editor(s) in revised form: January 30, 2012
Published electronically: August 1, 2013
Additional Notes: The first author was supported in part by NSA H98230-11-1-0201
Communicated by: Mei-Chi Shaw
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.