English

Th\'eor\`eme de Hartogs-Bochner dans $P_2(\mathbb{C})$

Complex Variables 2012-01-19 v4

Abstract

The present paper have been replaced by the paper: Hartogs-Bochner type theorem in Projective Space (math.CV/0011095) in which we prove the following Hartogs-Bochner type theorem: Let MM be a connected C2C^2 hypersurface of Pn(C)P_n(\mathbb{C}) (n2n\geq 2) which divides Pn(C)P_n(\mathbb{C}) in two connected open sets Ω1\Omega_1 and Ω2\Omega_2. Then there exists i{1,2}i \in \{1,2\} such that C1C^{1} CR functions defined on MM extends holomorphically to Ωi\Omega_i.

Keywords

Cite

@article{arxiv.math/0005107,
  title  = {Th\'eor\`eme de Hartogs-Bochner dans $P_2(\mathbb{C})$},
  author = {Sarkis Frédéric},
  journal= {arXiv preprint arXiv:math/0005107},
  year   = {2012}
}

Comments

The present paper have been replaced by the paper: Hartogs-Bochner type theorem in Projective Space (math.CV/0011095)