Comptes Rendus
no. 7
Complex analysis/Analytic geometry
On the Lie group structure of automorphism groups
[Sur la structure de groupe de Lie des groupes d'automorphismes]

Présenté par : Jean-Pierre Demailly

Yoshikazu Nagata1
1 Department of Mathematics and The SRC-GAIA, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea
Comptes Rendus. Mathématique, Volume 355 (2017) no. 7, pp. 769-773.

Nous donnons une condition suffisante pour que le groupe des automorphismes d'une variété complexe possède une structure de groupe de Lie. Comme application, nous obtenons que le groupe des automorphismes de tout domaine strictement pseudo-convexe ou de type pseudo-convexe fini a une structure de groupe de Lie.

We give a sufficient condition for complex manifolds for automorphism groups to become Lie groups. As an application, we see that the automorphism group of any strictly pseudoconvex domain or finite-type pseudoconvex domain has a Lie group structure.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.06.007
Yoshikazu Nagata 1

1 Department of Mathematics and The SRC-GAIA, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea 
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Yoshikazu Nagata. On the Lie group structure of automorphism groups. Comptes Rendus. Mathématique, Volume 355 (2017) no. 7, pp. 769-773. doi : 10.1016/j.crma.2017.06.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.06.007/

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