Hyperbolicity of the complement of plane algebraic curves
classification
alg-geom
math.AG
keywords
complementgenerichyperbolicquadricsalgebraicconfigurationconjecturecontribution
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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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