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Subjects
32-XX Several complex variables and analytic spaces
32Hxx Holomorphic mappings and correspondences
32H40 Boundary regularity of mappings

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Precise regularity up to the boundary of proper holomorphic mappings

Bernard Coupet (1993)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Proper holomorphic mappings between rigid polynomial domains in Cn+1.

Bernard Coupet, Nabil Ourimi (2001)

Publicacions Matemàtiques

We describe the branch locus of proper holomorphic mappings between rigid polynomial domains in Cn+1. It appears, in particular, that it is controlled only by the first domain. As an application, we prove that proper holomorphic self-mappings between such domains are biholomorphic.

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