Degeneracy of holomorphic curves into algebraic varieties

By J. Noguchi, J. Winkelmann, K. Yamanoi. 2005

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Abstract Applying the Second Main Theorem of [J. Noguchi, J. Winkelmann, K. Yamanoi, The second main theorem for holomorphic curves into semi-Abelian varieties II, Forum Math., in press, e-print archive, math.CV/0405492 ], we deal with the algebraic degeneracy of entire holomorphic curves f : C → X from the complex plane C into a complex algebraic normal variety X 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.

Subfields: Applied Mathematics, Geometry and Topology

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