Displaying similar documents to “Convexité rationnelle des sous-variétés immergées lagrangiennes”

Extension d'homéomorphismes CR entre variétés polynômialement rigides.

Patrick Lahondès (2002)

Publicacions Matemàtiques

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