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Start Over Topic elliptic curves Topic mathematical analysis Journal transactions of the american mathematical society Database Academic Search Index Publisher american mathematical society

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1. Uniqueness of holomorphic curves into abelian varieties.

Author

Matthew Dulock and Min Ru

Subjects
*HOLOMORPHIC functions, *ABELIAN varieties, *ELLIPTIC curves, *MATHEMATICAL mappings, *ALGEBRA, *MATHEMATICAL analysis
Abstract

In this paper, we first give a slight improvement of Yamanoi's truncated second main theorem for holomorphic maps into abelian varieties. We then use the result to study the uniqueness problem for such maps. The results obtained generalize and improve E. M. Schmid's uniqueness theorem for holomorphic maps into elliptic curves. In the last section, we consider algebraic dependence for a finite collection of holomorphic curves into an abelian variety. [ABSTRACT FROM AUTHOR]

Published
2010