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Nonlinearizable holomorphic group actions

✍ Scribed by Harm Derksen; Frank Kutzschebauch

Publisher: Springer
Year: 1998
Tongue: English
Weight: 187 KB
Volume: 311
Category: Article
ISSN: 0025-5831
DOI: 10.1007/s002080050175

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Suppose G is a Lie group acting as a group of holomorphic automorphisms on a holomorphic principal bundle P --t X . We show that if there is a holomorphic action of the complexification GC of G on X , this lifts to a holomorphic action of GC on the bundle P --t X . Two applications are presented. We