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On the Hartogs-Bochner phenomenon for CR functions in P_2(C)

Roman Dwilewicz·Joel Merker
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Abstract

Let M be a compact, connected, C^2-smooth and globally minimal hypersurface M in P_2(C) which divides the projective space into two connected parts U^{+} and U^{-}. We prove that there exists a side, U^- or U^+, such that every continuous CR function on M extends holomorphically to this side. Our proof of this theorem is a simplification of a result originally due to F. Sarkis.

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Roman Dwilewicz, Joel Merker. 2004-03-23. On the Hartogs-Bochner phenomenon for CR functions in P_2(C). https://arxiv.org/abs/math/0403384

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