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arXiv · 0911.2562

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

Gerd Dethloff·Tran Van Tan·Do Duc Thai
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Abstract

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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Gerd Dethloff, Tran Van Tan, Do Duc Thai. 2009-11-13. An Extension of the Cartan-Nochka Second Main Theorem for Hypersurfaces. https://arxiv.org/abs/0911.2562

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