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Hyperbolicity of the complement of plane algebraic curves

alg-geom 2014-12-01 v1 Algebraic Geometry

Abstract

The paper is a contribution of the conjecture of Kobayashi that the complement of a generic plain curve of degree at least five is hyperbolic. The main result is that the complement of a generic configuration of three quadrics is hyperbolic and hyperbolically embedded as well as the complement of two quadrics and a line.

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Cite

@article{arxiv.alg-geom/9312007,
  title  = {Hyperbolicity of the complement of plane algebraic curves},
  author = {Gerd Dethloff and Georg Schumacher and Pit-Mann Wong},
  journal= {arXiv preprint arXiv:alg-geom/9312007},
  year   = {2014}
}

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