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Proper holomorphic maps from domains in $$\mathbb C^{2}$$ 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.

MSC:
 32H35 Proper holomorphic mappings, finiteness theorems 32T25 Finite-type domains
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References:
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