Hartogs-Bochner type theorem in projective space

Sarkis Frederic

Hartogs-Bochner type theorem in projective space

Complex Variables 2016-09-07 v2

Authors: Sarkis Frederic

Abstract

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 $\Omega_i$ .

Keywords

holomorphic mappings general mathematical theorems and proofs hypersurfaces

Cite

@article{arxiv.math/0011095,
  title  = {Hartogs-Bochner type theorem in projective space},
  author = {Sarkis Frederic},
  journal= {arXiv preprint arXiv:math/0011095},
  year   = {2016}
}

Comments

23 pages, version with minor corrections

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