Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties 1/2

hyperbolicity
foliations
Algebraic varieties
applications
Grenoble
[MATH]Mathematics [math]
pseudoholomorphic curves
summer school 2012
eem2012
école d’été 2012
feuilletages
courbes pseudoholomorphes
Kobayashi pseudo-metrics
entire curves

Appears in 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.

Information about the video

Date of recording 28/06/2012
Date of publication 20/05/2026
Institution Institut Fourier
Licence CC BY NC ND
Language English
Format MP4

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