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Vector fields on the total space of hypersurfaces in the projective space and hyperbolicity
Authors:Mihai Păun
Affiliation:(1) Institut élie Cartan, Université Henri Poincaré, Nancy 1, BP 239, 54506 Vandoeuvre-lès-Nancy Cedex, France
Abstract:The results we obtain in this article concern the hyperbolicity of very generic hypersurfaces in the 3-dimensional projective space: we show that the Kobayashi conjecture is true in this setting, as long as the degree of the hypersurface is greater than 18.
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