On proper holomorphic mappings from domains with \(\mathbf T\)-action. (English) Zbl 0937.32011
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.
Reviewer: Bernard Coupet (Marseille)
MSC:
| 32H40 | Boundary regularity of mappings in several complex variables |
| 32H35 | Proper holomorphic mappings, finiteness theorems |
| 46H99 | Topological algebras, normed rings and algebras, Banach algebras |
Keywords:
basin of attraction; branch locus; proper holomorphic mapping; smoothly bounded pseudoconvex domains of finite typeReferences:
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