Open AccessA unicity theorem for meromorphic maps of a complete Kähler manifold into ℙⁿ(ℂ) sharing hypersurfaces
Author(s) -
Min Ru,
Suraizou Sogome
Publication year - 2013
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-2013-11718-1
Subject(s) - algorithm , artificial intelligence , annotation , type (biology) , computer science , geology , paleontology
In this paper, we give a unicity theorem for meromorphic maps of an m − m- dimensional complete Kähler manifold M M , whose universal covering is a ball in C m \mathbb {C}^m , into P n ( C ) \mathbb {P}^n(\mathbb {C}) , sharing the hypersurfaces in general position in P n ( C ) \mathbb {P}^n(\mathbb {C}) , where the maps satisfy a certain growth condition.