Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties (Part 1)

Appears in collection : Summer School 2012 - FEUILLETAGES, COURBES PSEUDOHOLOMORPHES, APPLICATIONS

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.

Information about the video

Date of recording 18/06/2012
Date of publication 20/05/2026
Institution Institut Fourier
Licence CC BY NC ND
Language English
Format MP4

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