Degeneracy of Holomorphic Curves into Algebraic Varieties

Details Degeneracy of Holomorphic Curves into Algebraic Varieties Degeneracy of Holomorphic Curves into Algebraic Varieties

2005-07-06

arxiv.org/abs/math/0507122v1

Mathematics

Complex Variables

LaTeX, 22 pages

Scientific paper

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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