Globalizations, fiber bundles, and envelopes of holomorphy

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• 作者：Enrico Casadio Tarabusi ; Andrea Iannuzzi and Stefano Trapani
• 关键词：Mathematics Subject Classification (1991) ; 32M05 ; 32L05 ; 32D10 ; 32E10.
• 刊名：Mathematische Zeitschrift
• 出版年：2000
• 出版时间：March 2000
• 年：2000
• 卷：233
• 期：3
• 页码：535-551
• 全文大小：171 KB

文摘

We describe a relationship between globalizations of local holomorphic actions on Stein manifolds induced by global actions of certain non-compact Lie groups, and holomorphic fiber bundles with smooth Stein base and fiber and connected structure group. To this end we prove a univalence result for particular Stein Riemann domains with a free and properly discontinuous action of a discrete group of biholomorphisms. We then derive some consequences on the existence of Stein globalizations.