no. 2
Separatrices for non solvable dynamics on ℂ,0
Annales de l'Institut Fourier, Tome 44 (1994) no. 2, pp. 569-599

We define the separatrices for pseudogroups of diffeomorphisms of open neighbourhoods of the origin in the complex plane ℂ and prove their existence for non solvable pseudogroups (Theorem 1). This extends a result by Shcherbakov (in [21]) accurately. Our method also applies to prove the topological rigidity theorem for generic pseudogroups attributed to Shcherbakov (dans [20]).

Nous définissons les séparatrices pour les pseudo-groupes de difféomorphismes de voisinages ouverts de l’origine du plan complexe ℂ, et nous démontrons leur existence pour les pseudo-groupes non résolubles (Théorème 1). Ceci précise un résultat de Shcherbakov (dans [21]). Notre méthode permet aussi de démontrer le théorème de rigidité topologique pour les pseudo-groupes génériques attribué à Shcherbakov (dans [20]).

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     author = {Nakai, Isao},
     title = {Separatrices for non solvable dynamics on ${\mathbb {C}},0$},
     journal = {Annales de l'Institut Fourier},
     pages = {569--599},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {44},
     number = {2},
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Nakai, Isao. Separatrices for non solvable dynamics on ${\mathbb {C}},0$. Annales de l'Institut Fourier, Tome 44 (1994) no. 2, pp. 569-599. doi: 10.5802/aif.1410

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