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Hartogs-Bochner type theorem in projective space

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Arkiv för Matematik

Abstract

We prove the following Hartogs-Bochner type theorem: Let M be a connected C2 hypersurface of Pn(C) (n≥2) which divides Pn(C) in two connected open sets Ω1 and Ω2. Suppose that M has at most one open CR orbit. Then there exists i∈{1,2} such that C1 CR functions defined on M extends holomorphically to Ω i .

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Authors and Affiliations

  1. Université Lille I, UFR de Mathématiques, FR-59655, Villeneuve d’Ascq Cedex, France

    Frédéric Sarkis

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  1. Frédéric Sarkis
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Sarkis, F. Hartogs-Bochner type theorem in projective space. Ark. Mat. 41, 151–163 (2003). https://doi.org/10.1007/BF02384573

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  • DOI: https://doi.org/10.1007/BF02384573

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