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arXiv math/00051072000-05math.CV

$P_2(\mathbb{C})$中的哈托格斯-波希纳理论

Théorème de Hartogs-Bochner dans $P_2(\mathbb{C})$

Sarkis Frédéric

备注：: The present paper have been replaced by the paper: Hartogs-Bochner type theorem in Projective Space (math.CV/0011095)

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摘要：

本论文已取代的文件：Hartogs-Bochner型定理在射影空间（数学.CV/0011095），其中我们证明了以下Hartogs-Bochner型定理：设$M$是一个连接的$C^2$超曲面的$P_n(\mathbb{C})$（$n\geq 2$），其中分$P_n(\mathbb{C})$在两个连接的开放集$Ω_1$和$Ω_2$。然后存在$i \in \{1,2\}$，使得定义在$M$上的$C^{1}$ CR函数全纯地扩展到$Ω_i$。

英文摘要：

The present paper have been replaced by the paper: Hartogs-Bochner type theorem in Projective Space (math.CV/0011095) in which we prove the following Hartogs-Bochner type theorem: Let $M$ be a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 $Ω_1$ and $Ω_2$. Then there exists $i \in \{1,2\}$ such that $C^{1}$ CR functions defined on $M$ extends holomorphically to $Ω_i$.

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