Logarithmic vector fields and hyperbolicity
Algebraic Geometry
2008-10-14 v2 Complex Variables
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.
Cite
@article{arxiv.0709.3881,
title = {Logarithmic vector fields and hyperbolicity},
author = {Erwan Rousseau},
journal= {arXiv preprint arXiv:0709.3881},
year = {2008}
}
Comments
21 pages, final version, to appear in Nagoya Math. J