On proper holomorphic mappings between rigid polynomial domains in C n + 1

Nabil Ourimi

doi:10.1016/j.jmaa.2004.06.010

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On proper holomorphic mappings between rigid polynomial domains in C n + 1

Journal article

Peer reviewed

On proper holomorphic mappings between rigid polynomial domains in C n + 1

Nabil Ourimi

Journal of mathematical analysis and applications, Vol.303(1), pp.54-60

03/2005

DOI: https://doi.org/10.1016/j.jmaa.2004.06.010

Abstract

Envelope of holomorphy

Proper holomorphic mappings

Rigid polynomial nondegenerate domains

Segre varieties

We study the behavior of the branch locus of proper holomorphic mappings between nondegenerate rigid polynomial domains in C n + 1 nonnecessary pseudoconvex. In particular, we show that it depends only on the first domain. This paper generalizes [Publ. Mat. 45 (2001) 69–77] in the nonpseudoconvex case.

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Title: On proper holomorphic mappings between rigid polynomial domains in C n + 1
Creators - without role: Nabil Ourimi - Faculté des Sciences de Bizerte, 7021 Jarzouna, Tunisia
Publication Details: Journal of mathematical analysis and applications, Vol.303(1), pp.54-60
Publisher: Elsevier Inc
Identifiers: 9946239708331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article