Globalizations, fiber bundles, and envelopes of holomorphy |
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| Authors: | Enrico Casadio Tarabusi Andrea Iannuzzi Stefano Trapani |
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| Affiliation: | (1) Dipartimento di Matematica “G. Castelnuovo”, Università di Roma “La Sapienza”, Piazzale A. Moro 2, I-00185 Roma, Italy (E-mail: casadio@science.unitn.it) , IT;(2) Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, I-40127 Bologna, Italy (E-mail: iannuzzi@dm.unibo.it) , IT;(3) Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, I-00133 Roma, Italy (E-mail: trapani@mat.uniromA2.it) , IT |
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| Abstract: | 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. Received August 11, 1998; in final form March 8, 1999 |
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| Keywords: | Mathematics Subject Classification (1991): 32M05 32L05 32D10 32E10. |
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