Videos Year : 2012

Jean-Pierre Demailly - Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties (Part 4)

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Jean-Pierre Demailly
Fanny Bastien

Abstract

We will first introduce the basic concepts pertaining to Kobayashi pseudo-distances and hyperbolic complex spaces, including Brody’s theorem and the Ahlfors-Schwarz lemma. One of the main goals of the theory is to understand conditions under which a given algebraic variety is Kobayashi hyperbolic. This leads to the introduction of jet spaces and jet metrics, and provides a strong link between the existence of entire curves and the existence of global algebraic differential equations.

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medihal-01320039 , version 1 (23-05-2016)

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  • HAL Id : medihal-01320039 , version 1

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Jean-Pierre Demailly, Robert Binder, Fanny Bastien. Jean-Pierre Demailly - Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties (Part 4) . 2012. ⟨medihal-01320039⟩
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