On proper holomorphic mappings from domains with T-action-Reference-Cited by-同舟云学术

On proper holomorphic mappings from domains with T-action

Published:1999 Issue: Volume:154 Page:57-72
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Coupet Bernard,Pan Yifei,Sukhov Alexandre

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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