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

Coupet, Bernard, and Ourimi, Nabil. "Proper holomorphic mappings between rigid polynomial domains in Cn+1.." Publicacions Matemàtiques 45.1 (2001): 69-77. <http://eudml.org/doc/41414>.

@article{Coupet2001,
abstract = {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.},
author = {Coupet, Bernard, Ourimi, Nabil},
journal = {Publicacions Matemàtiques},
keywords = {Funciones holomorfas de varias variables; Funciones de variable compleja; Dominios pseudoconvexos; Hipersuperficies; proper holomorphic mappings; rigid polynomial pseudoconvex domains; branch locus; Levi determinant},
language = {eng},
number = {1},
pages = {69-77},
title = {Proper holomorphic mappings between rigid polynomial domains in Cn+1.},
url = {http://eudml.org/doc/41414},
volume = {45},
year = {2001},
}

TY - JOUR
AU - Coupet, Bernard
AU - Ourimi, Nabil
TI - Proper holomorphic mappings between rigid polynomial domains in Cn+1.
JO - Publicacions Matemàtiques
PY - 2001
VL - 45
IS - 1
SP - 69
EP - 77
AB - 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.
LA - eng
KW - Funciones holomorfas de varias variables; Funciones de variable compleja; Dominios pseudoconvexos; Hipersuperficies; proper holomorphic mappings; rigid polynomial pseudoconvex domains; branch locus; Levi determinant
UR - http://eudml.org/doc/41414
ER -