Comptes Rendus
no. 9
Algebraic geometry/Analytic geometry
Kobayashi measure hyperbolicity for singular directed varieties of general type
[Hyperbolicité au sens de la mesure de Kobayashi pour les variétés dirigées singulières de type général]

Présenté par : Jean-Pierre Demailly

Ya Deng1, 2
1 Institut Fourier, Université Grenoble Alpes, France
2 School of Mathematical Sciences, University of Science and Technology of China, China
Comptes Rendus. Mathématique, Volume 354 (2016) no. 9, pp. 920-924.

Dans cette note, nous démontrons la non-dégénérescence de la mesure de volume au sens de Kobayashi–Eisenman pour une variété dirigée singulière (X,V), c'est-à-dire l'hyperbolicité de la mesure au sens de Kobayashi de (X,V) lorsque le faisceau canonique KV de V est gros au sens de Demailly.

In this note, we prove the non-degeneracy of the Kobayashi–Eisenman volume measure of a singular directed varieties (X,V), i.e. the Kobayashi measure hyperbolicity of (X,V), as long as the canonical sheaf KV of V is big in the sense of Demailly.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.07.010
Ya Deng 1, 2

1 Institut Fourier, Université Grenoble Alpes, France
2 School of Mathematical Sciences, University of Science and Technology of China, China 
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Ya Deng. Kobayashi measure hyperbolicity for singular directed varieties of general type. Comptes Rendus. Mathématique, Volume 354 (2016) no. 9, pp. 920-924. doi : 10.1016/j.crma.2016.07.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.07.010/

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