On proper -actions on hyperbolic Stein surfaces
Christian Miebach
LATP-UMR(CNRS) 6632 LATP-UMR(CNRS) 6632 CMI-Université d'Aix-Marseille I CMI-Université d'Aix-Marseille I 39 rue Joliot-Curie 39 rue Joliot-Curie F-13453 Marseille Cedex 13 F-13453 Marseille Cedex 13 France FranceKarl Oeljeklaus
LATP-UMR(CNRS) 6632 LATP-UMR(CNRS) 6632 CMI-Université d'Aix-Marseille I CMI-Université d'Aix-Marseille I 39 rue Joliot-Curie 39 rue Joliot-Curie F-13453 Marseille Cedex 13 F-13453 Marseille Cedex 13 France France
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Abstract
In this paper we investigate proper -actions on hyperbolic Stein surfaces and prove in particular the following result: Let be a simply-connected bounded domain of holomorphy which admits a proper -action by holomorphic transformations. The quotient with respect to the induced proper -action is a Stein manifold. A normal form for the domain is deduced.
Cite this article
Christian Miebach, Karl Oeljeklaus, On proper -actions on hyperbolic Stein surfaces. Doc. Math. 14 (2009), pp. 673–689
DOI 10.4171/DM/285