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Integration of local actions on holomorphic fiber spaces

Published online by Cambridge University Press:  22 January 2016

Peter Heinzner  and
Andrea Iannuzzi
Peter Heinzner
Affiliation:
Fakultät und Institut für Mathematik, Ruhr Universität Bochum, Universitätssraβe 150, D-44780, Bochum, Federal Republic of Germany, [email protected]
Andrea Iannuzzi
Affiliation:
Fakultät und Institut für Mathematik, Ruhr Universität Bochum, Universitätssraβe 150, D-44780 Bochum, Federal Republic of Germany, [email protected]
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Abstract.

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It is proved that every holomorphically convex complex space endowed with an action of a compact Lie group K can be realized as an open K-stable subspace of a holomorphically convex space endowed with a holomorphic action of the complexified group KC. Similar results are obtained for holomorphic if-bundles over such spaces.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 146 , June 1997 , pp. 31 - 53
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

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