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

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

2004-03-23

arxiv.org/abs/math/0403384v1

Proc. Amer. Math. Soc. 130 (2002), no. 7, 1975--1980

Mathematics

Complex Variables

7 pages, 1 figure

Scientific paper

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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