Hyperbolicity of the complement of plane algebraic curves

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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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