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D. Brotbek - On the hyperbolicity of general hypersurfacesComplex analytic and differential geometry 2017


Description : A smooth projective variety over the complex numbers is said to be (Brody) hyperbolic if it doesn’t contain any entire curve. Kobayashi conjectured in the 70’s that general hypersurfaces of sufficiently large degree in PN are hyperbolic. This conjecture was only recently proved by Siu. The purpose of this talk is to present a new proof of this conjecture. The main idea of the proof, based on the theory of jet differential equations, is to establish that a stronger property, open in the Zariski topology, is satisfied for suitable deformations of Fermat type hypersurfaces.
Contributeur : Fanny Bastien <>
Soumis le : jeudi 12 octobre 2017 - 15:43:36
Dernière modification le : mercredi 23 mai 2018 - 01:10:26