Logarithmic vector fields and hyperbolicity

Details Logarithmic vector fields and hyperbolicity Logarithmic vector fields and hyperbolicity

2007-09-25

arxiv.org/abs/0709.3881v2

Mathematics

Algebraic Geometry

21 pages, final version, to appear in Nagoya Math. J

Scientific paper

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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