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Degeneracy of Holomorphic Curves into Algebraic Varieties

Junjiro Noguchi·Jörg Winkelmann·Katsutoshi Yamanoi
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Abstract

Applying the Second Main Theorem we deal with the algebraic degeneracy of entire holomorphic curves from the complex plane into a complex algebraic normal variety of positive log Kodaira dimension that admits a finite proper morphism to a semi-abelian variety. We will also discuss applications to the Kobayashi hyperbolicity problem.

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Junjiro Noguchi, Jörg Winkelmann, Katsutoshi Yamanoi. 2005-07-06. Degeneracy of Holomorphic Curves into Algebraic Varieties. https://arxiv.org/abs/math/0507122

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