Logarithmic vector fields and hyperbolicity
Abstract
Description
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.
21 pages, final version, to appear in Nagoya Math. J
21 pages, final version, to appear in Nagoya Math. J