A Wong-Rosay type theorem for proper holomorphic self-maps
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 19 (2010) no. 3-4, pp. 513-524.

Dans cette note, nous prouvons que les seules auto-applications holomorphes propres des domaines bornés de k dont les itérées accumulent un point de stricte-pseudoconvexité du bord sont des automorphismes de la boule. Il s’agit d’un résultat de type Wong-Rosay pour une suite d’applications dont les degrés sont à priori non bornés.

In this short paper, we show that the only proper holomorphic self-maps of bounded domains in k whose iterates approach a strictly pseudoconvex point of the boundary are automorphisms of the euclidean ball. This is a Wong-Rosay type theorem for a sequence of maps whose degrees are a priori unbounded.

DOI : 10.5802/afst.1254
Opshtein, Emmanuel 1

1 Institut de Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René Descartes, 67000 Strasbourg, France.
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Opshtein, Emmanuel. A Wong-Rosay type theorem for proper holomorphic self-maps. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 19 (2010) no. 3-4, pp. 513-524. doi : 10.5802/afst.1254. http://www.numdam.org/articles/10.5802/afst.1254/

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