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Proper holomorphic maps from domains in $\Bbb C^{2}$ with transverse circle action. (English) Zbl 1143.32011
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.

32H35Proper mappings, finiteness theorems
32T25Finite type domains
Full Text: DOI
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