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

Publicacions Matemàtiques (2001)

- Volume: 45, Issue: 1, page 69-77
- ISSN: 0214-1493

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topCoupet, 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 -

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