Proper holomorphic mappings between rigid polynomial domains in Cn+I

Autores: Bernard Coupet, Nabil Ourimi
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 45, Nº 1, 2001, págs. 69-77
Idioma: inglés
DOI: 10.5565/publmat_45101_02
Títulos paralelos:
- Funciones holomórficas propias entre dominios polinómicos rígidos en Cn+1
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Resumen
- We describe the branch locus of proper holomorphic mappings between rigid polynomial domains in $\mathbb{C}^{n+1}$. 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.