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 Ωi.
Funding Statement
Supported by the TMR network.
Citation
Frédéric Sarkis. "Hartogs-Bochner type theorem in projective space." Ark. Mat. 41 (1) 151 - 163, April 2003. https://doi.org/10.1007/BF02384573
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