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Degeneracy of Holomorphic Curves into Algebraic Varieties

Complex Variables 2007-05-23 v1 Algebraic Geometry

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.

Cite

@article{arxiv.math/0507122,
  title  = {Degeneracy of Holomorphic Curves into Algebraic Varieties},
  author = {Junjiro Noguchi and Jörg Winkelmann and Katsutoshi Yamanoi},
  journal= {arXiv preprint arXiv:math/0507122},
  year   = {2007}
}

Comments

LaTeX, 22 pages