On special forms of holomorphic automorphisms of domains in complex two-space

The authors study geometric conditions on a domain in complex space which will guarantee that the automorphism group of the domain will depend on fewer than the maximal number of variables. A number of useful examples are provided.

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Bibliographic Details
Published in:Complex variables and elliptic equations 2010-04, Vol.55 (4), p.395-405
Main Authors: Byun, Jisoo, Krantz, Steven G.
Format: Article
Language:English
Subjects:
automorphisms
parameters
Primary 32M05
pseudoconvexity
Secondary 32H02
variables
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Description
Summary:The authors study geometric conditions on a domain in complex space which will guarantee that the automorphism group of the domain will depend on fewer than the maximal number of variables. A number of useful examples are provided.
ISSN:1747-6933
1747-6941
DOI:10.1080/17476930903276258