论文标题
叶面的各向同性组：局部情况
The isotropy group of a foliation: the local case
论文作者
论文摘要
鉴于$（\ c^n，0）$的全态单数叶子$ \ fa $，我们将$ iso（\ fa）$定义为$（\ c^n，0）$保留$ \ fa $：$ iso（\ fa）的biholomorthisms of Biholomorthisms gent diff（\ c^n，0）\，| \，φ^*（\ fa）= \ fa \} $。 $ ISO（\ fa）$的普通亚组，将每片$ \ fa $的每片叶子发送到本身中，将表示为$ fix（\ fa）$。相应的正式生物形态组将分别表示为$ \ wh {iso}（\ fa）$和$ \ wh {fix}（\ fa）$。本文的目的是研究商$ iso（\ fa）/fix（\ fa）$和$ \ wh {fix}（fix}（\ fa）/\ wh {fix}（\ fa）$，主要是在Codimension One Foliation的情况下。
Given a holomorphic singular foliation $\fa$ of $(\C^n,0)$ we define $Iso(\fa)$ as the group of germs of biholomorphisms on $(\C^n,0)$ preserving $\fa$: $Iso(\fa)=\{Φ\in Diff(\C^n,0)\,|\,Φ^*(\fa)=\fa\}$. The normal subgroup of $Iso(\fa)$, of biholomorphisms sending each leaf of $\fa$ into itself, will be denoted as $Fix(\fa)$. The corresponding groups of formal biholomorphisms will be denoted as $\wh{Iso}(\fa)$ and $\wh{Fix}(\fa)$, respectively. The purpose of this paper will be to study the quotients $Iso(\fa)/Fix(\fa)$ and $\wh{Fix}(\fa)/\wh{Fix}(\fa)$, mainly in the case of codimension one foliation.
