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arxiv: math/0507122 · v1 · submitted 2005-07-06 · 🧮 math.CV · math.AG

Degeneracy of Holomorphic Curves into Algebraic Varieties

classification 🧮 math.CV math.AG
keywords algebraiccomplexcurvesdegeneracyholomorphicvarietyadmitsapplications
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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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