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arxiv: 0911.2562 · v1 · pith:64IH2Z67new · submitted 2009-11-13 · 🧮 math.CV · math.AG

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

classification 🧮 math.CV math.AG
keywords curveshypersurfacesnochkatheoremcartancartan-nochkacasecomplex
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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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