Extension of CR homeomorphisms between rigid polynomial varieties.

Patrick Lahondès

Publicacions Matemàtiques (2002)

  • Volume: 46, Issue: 2, page 327-352
  • ISSN: 0214-1493

Abstract

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Let f : M → M' be a CR homeomorphism between two minimal, rigid polynomial varieties of Cn without holomorphic curves. We show that f extends biholomorphically in a neighborhood of M if f extends holomorphically in a neighborghood of a point p0 ∈ M or if f is of class C1. In the other hand, in case M and M' are two algebraic hypersurfaces, we obtain the extension without supplementary conditions.

How to cite

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Lahondès, Patrick. "Extension d'homéomorphismes CR entre variétés polynômialement rigides.." Publicacions Matemàtiques 46.2 (2002): 327-352. <http://eudml.org/doc/41455>.

@article{Lahondès2002,
author = {Lahondès, Patrick},
journal = {Publicacions Matemàtiques},
keywords = {Funciones de varias variables complejas; Funciones holomorfas de varias variables; Variedades de Cauchy-Riemann; Variedades de Segre; Hipersuperficies},
language = {fre},
number = {2},
pages = {327-352},
title = {Extension d'homéomorphismes CR entre variétés polynômialement rigides.},
url = {http://eudml.org/doc/41455},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Lahondès, Patrick
TI - Extension d'homéomorphismes CR entre variétés polynômialement rigides.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - 2
SP - 327
EP - 352
LA - fre
KW - Funciones de varias variables complejas; Funciones holomorfas de varias variables; Variedades de Cauchy-Riemann; Variedades de Segre; Hipersuperficies
UR - http://eudml.org/doc/41455
ER -

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