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

Junjiro Noguchi·Jörg Winkelmann·Katsutoshi Yamanoi
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Abstract

We establish the second main theorem with the best truncation level one for an entire holomorphic curve $f:\C \to A$ into a semi-abelian variety $A$ and an arbitrary effective reduced divisor $D$ on $A$; the low truncation level is important for applications. We will actually prove this for the jet lifts of $f$. Finally we give some applications, including the solution of a problem posed by Mark Green.

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Junjiro Noguchi, Jörg Winkelmann, Katsutoshi Yamanoi. 2005-07-06. The Second Main Theorem for Holomorphic Curves into Semi-Abelian Varieties II. https://arxiv.org/abs/math/0405492

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