An Extension of the Cartan-Nochka Second Main Theorem for Hypersurfaces

Details An Extension of the Cartan-Nochka Second Main Theorem for Hypersurfaces An Extension of the Cartan-Nochka Second Main Theorem for Hypersurfaces

2009-11-13

arxiv.org/abs/0911.2562v1

Mathematics

Complex Variables

Scientific paper

In 1983, Nochka proved a conjecture of Cartan on defects of holomorphic
curves in CP^n relative to a possibly degenerate set of hyperplanes. In this
paper, we generalize the Nochka's theorem to the case of curves in a complex
projective variety intersecting hypersurfaces in subgeneral position.

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