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Habilitation à diriger des recherches

Autour de l'hyperbolicité en géométrie complexe

Abstract : The study of entire curves in complex manifolds has already a long history which can be traced back to the little Picard theorem. Complex hyperbolic manifolds are the subject of many research works motivated by the fascinating links they have with arithmetic geometry. After Lang and Vojta, we have conjectures relating analytic and arithmetic hyperbolicity e.g. density of entire curves and rational points. In this survey, we describe several possible ways to deal with problems in hyperbolicity: algebraic differential equations, orbifolds and Ahlfors currents.
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Habilitation à diriger des recherches
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Contributor : Erwan Rousseau <>
Submitted on : Sunday, November 7, 2010 - 6:43:55 PM
Last modification on : Friday, June 19, 2020 - 9:22:04 AM
Long-term archiving on: : Friday, October 26, 2012 - 3:10:22 PM



  • HAL Id : tel-00533575, version 1



Erwan Rousseau. Autour de l'hyperbolicité en géométrie complexe. Mathématiques [math]. Université de Strasbourg, 2010. ⟨tel-00533575⟩



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