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On Holomorphic Curves in Semi-Abelian Varieties

Junjiro Noguchi
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Abstract

The algebraic degeneracy of holomorphic curves in a semi-Abelian variety omitting a divisor is proved (Lang's conjecture generalized to semi-Abelian varieties) by making use of the {\it jet-projection method} and the logarithmic Wronskian jet differential after Siu-Yeung. We also prove a structure theorem for the locus which contains all possible image of non-constant entire holomorphic curves in a semi-Abelian variety omitting a divisor.

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Junjiro Noguchi. 1996-04-10. On Holomorphic Curves in Semi-Abelian Varieties. https://arxiv.org/abs/math/9604223

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