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

Abstract

In 1983, Nochka proved a conjecture of Cartan on defects of holomorphic curves in CPn 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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