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arXiv · 0709.3881

Logarithmic vector fields and hyperbolicity

Erwan Rousseau
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Abstract

In this article we prove that the complement of a very generic curve of degree at least equal to 14 in the complex projective plane is hyperbolic in the sense of Kobayashi. Thus, using a new method, we improve the former known bound obtained by El Goul. We also improve the case of a very generic curve with two components.

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Erwan Rousseau. 2008-10-14. Logarithmic vector fields and hyperbolicity. https://arxiv.org/abs/0709.3881

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