Entre les hypersurfaces et les ensembles pseudoconcaves
A. Hirschowitz (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Convexité rationnelle des sous-variétés immergées lagrangiennes”
Entre les hypersurfaces et les ensembles pseudoconcaves
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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.
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