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Algebraic dependence of meromorphic mappings in value distribution theory

Published online by Cambridge University Press:  22 January 2016

Yoshihiro Aihara
Yoshihiro Aihara*
Affiliation:
Division of Liberal Arts, Numazu College of Technology, 3600 Ooka, Numazu, Shizuoka, 410-8501, Japan, aihara@la.numazu-ct.ac.jp
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Abstract

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In this paper we first prove some criteria for the propagation of algebraic dependence of dominant meromorphic mappings from an analytic finite covering space X over the complex m-space into a projective algebraic manifold. We study this problem under a condition on the existence of meromorphic mappings separating the generic fibers of X. We next give applications of these criteria to the uniqueness problem of meromorphic mappings. We deduce unicity theorems for meromorphic mappings and also give some other applications. In particular, we study holomorphic mappings into a smooth elliptic curve E and give conditions under which two holomorphic mappings from X into E are algebraically related.

Keywords

32H3032H04
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 169 , 2003 , pp. 145 - 178
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

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