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Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space

✍ Scribed by Kutzschebauch, Frank; Lodin, Sam

Book ID
121004135
Publisher
Duke University Press
Year
2013
Tongue
English
Weight
417 KB
Volume
162
Category
Article
ISSN
0012-7094

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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