Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties 2/2

Apparaît dans la collection : Summer School 2012 - FEUILLETAGES, COURBES PSEUDOHOLOMORPHES, APPLICATIONS

An almost complex manifold is hyperbolic if it does not contain any entire curve. We start characterizing hyperbolic compact almost complex manifolds. These are the ones whose holomorphic discs satisfy a linear isoperimetric inequality. Then we prove the almost complex version of the Greeene Theorem : the complementary of five lines in general position in a projective almost complex plane is hyperbolic.

Informations sur la vidéo

Date de captation 29/06/2012
Date de publication 20/05/2026
Institut Institut Fourier
Licence CC BY NC ND
Langue Anglais
Format MP4

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