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Zbl 1143.32011
Coffman, Adam; Pan, Yifei
Proper holomorphic maps from domains in $\Bbb C^{2}$ with transverse circle action. (English)
[J] Chin. Ann. Math., Ser. B 28, No. 5, 533-542 (2007). ISSN 0252-9599; ISSN 1860-6261

Let $T=S^1$ denote the torus and let $\Omega$ be a bounded connected open subset of $\mathbb C^2$, which is pseudoconvex, of finite type and with smooth three dimensional boundary. In this paper the authors consider proper holomorphic mappings between pseudoconvex regions of $\mathbb C^2$ and they study transverse actions in relation with the branch locus. Recall that classes of domains admitting a $T$-action are for instance Hartogs domains, Reinhardt and quasi-circular domains.
[Gabriela Paola Ovando (Santa Fé)]

MSC 2000:: *32H35 Proper mappings, etc.
32T25 Finite type domains

Keywords: proper holomorphic map; pseudoconvex domain; T-actions; finite type domains

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