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The Second Main Theorem for Holomorphic Curves into Semi-Abelian Varieties

Junjiro Noguchi·Joerg Winkelmann·Katsutoshi Yamanoi
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Abstract

Let f:C -> A be an entire holomorphic curve into a semi-Abelian variety A. Then the Zariski closure of f(C) is a translate of a semi-Abelian subvariety of A (logarithmic Bloch-Ochiai's theorem). The purpose of the present paper is to establish a quantitative version of the above result for such f i.e., the second main theorem and the defect relation.

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Junjiro Noguchi, Joerg Winkelmann, Katsutoshi Yamanoi. 1999-12-15. The Second Main Theorem for Holomorphic Curves into Semi-Abelian Varieties. https://doi.org/10.1016/s0764-4442(00)01614-1

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