Proper Holomorphic Maps from Domains in ℂ² with Transverse Circle Action

Abstract

The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space, where the domain is of finite type and admits a transverse circle action. The main result is that the closure of each irreducible component of the branch locus of such a map intersects the boundary of the domain in the union of finitely many orbits of the group action.

Keywords

Proper holomorphic map / Pseudoconvex domain / 32H35 / 32T25

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