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Media type:
E-Article
Title:
EXTENSION D'HOMÉOMORPHISMES CR ENTRE VARIÉTÉS POLYNÔMIALEMENT RIGIDES
Contributor:
Lahondès, Patrick
imprint:
Universitat Autònoma de Barcelona, 2002
Published in:Publicacions Matemàtiques
Language:
French
ISSN:
0214-1493;
2014-4350
Origination:
Footnote:
Description:
<p>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.</p>