On the Hartogs-Bochner phenomenon for CR functions in P_2(C)
Complex Variables
2009-09-29 v1
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.
Cite
@article{arxiv.math/0403384,
title = {On the Hartogs-Bochner phenomenon for CR functions in P_2(C)},
author = {Roman Dwilewicz and Joel Merker},
journal= {arXiv preprint arXiv:math/0403384},
year = {2009}
}
Comments
7 pages, 1 figure