Proper holomorphic mappings between real-analytic pseudoconvex domains inC n

1988 ◽  
Vol 282 (4) ◽  
pp. 681-700 ◽  
Author(s):  
K. Diederich ◽  
J. E. Forn�ss
Keyword(s):  
Holomorphic Mappings ◽  
Pseudoconvex Domains ◽  
Real Analytic ◽  
Proper Holomorphic Mappings

scholarly journals On proper holomorphic mappings from domains with T-action

1999 ◽  
Vol 154 ◽  
pp. 57-72 ◽  
Author(s):  
Bernard Coupet ◽  
Yifei Pan ◽  
Alexandre Sukhov
Keyword(s):  
Unit Circle ◽  
Finite Type ◽  
Holomorphic Mapping ◽  
Circular Domain ◽  
Holomorphic Mappings ◽  
Pseudoconvex Domains ◽  
Branch Locus ◽  
Proper Holomorphic Mapping ◽  
Proper Holomorphic Mappings

AbstractWe describe the branch locus of a proper holomorphic mapping between two smoothly bounded pseudoconvex domains of finite type in under the assumption that the first domain admits a transversal holomorphic action of the unit circle. As an application we show that any proper holomorphic self-mapping of a smoothly bounded pseudoconvex complete circular domain of finite type in is biholomorphic.

Infinite type germs of real analytic pseudoconvex domains in ℂ3

2012 ◽  
Vol 57 (6) ◽  
pp. 705-717 ◽  
Author(s):  
John Erik Fornæss ◽  
Berit Stensønes
Keyword(s):  
Pseudoconvex Domains ◽  
Infinite Type ◽  
Real Analytic
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