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1999 On proper holomorphic mappings from domains with $\bf T$-action
Bernard Coupet, Yifei Pan, Alexandre Sukhov
Nagoya Math. J. 154: 57-72 (1999).


We describe the branch locus of a proper holomorphic mapping between two smoothly bounded pseudoconvex domains of finite type in $\mathbb{C}^2$ 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 $\mathbb{C}^2$ is biholomorphic.


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Bernard Coupet. Yifei Pan. Alexandre Sukhov. "On proper holomorphic mappings from domains with $\bf T$-action." Nagoya Math. J. 154 57 - 72, 1999.


Published: 1999
First available in Project Euclid: 27 April 2005

zbMATH: 0937.32011
MathSciNet: MR1689172

Primary: 32H35

Rights: Copyright © 1999 Editorial Board, Nagoya Mathematical Journal

Vol.154 • 1999
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