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

Sarkis Frédéric

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

复变函数 2012-01-19 v4

作者: Sarkis Frédéric

摘要

The present paper have been replaced by the paper: Hartogs-Bochner type theorem in Projective Space (math.CV/0011095) in which we prove the following Hartogs-Bochner type theorem: Let $M$ be a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

关键词

general mathematical theorems and proofs

引用

@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}
}

备注

The present paper have been replaced by the paper: Hartogs-Bochner type theorem in Projective Space (math.CV/0011095)

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

摘要

关键词

引用

备注

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