Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Th\'eor\`eme de Hartogs-Bochner dans $P_2(\mathbb{C})$   The present paper have been replaced by the paper: Hartogs-Bochner type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 $\Omega_i$.

16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con