no. 4
Constructing blow-analytic isomorphisms
[Construire des isomorphismes "blow-analytiques"]
Fukui, Toshizumi1 ; Kuo, Tzee-Char2 ; Paunescu, Laurentiu2
1 Saitama University, Fauclty of Science, Department of Mathematics, 255 Shimo-Okubo, Urawa 338 (Japon)
2 University of Sydney, School of Mathematics and Statistics, Sydney NSW 2006 (Australie)
Annales de l'Institut Fourier, Tome 51 (2001) no. 4, pp. 1071-1087.

Nous donnons des exemples d'isomorphismes "blow-analytiques" et via des modifications toriques, nous obtenons un théorème des fonctions inverses dans cette catégorie. Nous montrons aussi que on peut déformer toutes les courbes analytiques (via des isomorphismes rationnels "blow-analytiques") sur une courbe analytique lisse.

In this paper we construct non-trivial examples of blow-analytic isomorphisms and we obtain, via toric modifications, an inverse function theorem in this category. We also show that any analytic curve in ℝ n ,n≥3, can be deformed via a rational blow- analytic isomorphism of ℝ n , to a smooth analytic arc.

DOI : 10.5802/aif.1845
Classification : 32B20, 14Pxx
Keywords: blow-analytic, arc-analytic
Mot clés : blow-analytique, arc-analytique
Fukui, Toshizumi 1 ; Kuo, Tzee-Char 2 ; Paunescu, Laurentiu 2

1 Saitama University, Fauclty of Science, Department of Mathematics, 255 Shimo-Okubo, Urawa 338 (Japon)
2 University of Sydney, School of Mathematics and Statistics, Sydney NSW 2006 (Australie) 
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     title = {Constructing blow-analytic isomorphisms},
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     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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Fukui, Toshizumi; Kuo, Tzee-Char; Paunescu, Laurentiu. Constructing blow-analytic isomorphisms. Annales de l'Institut Fourier, Tome 51 (2001) no. 4, pp. 1071-1087. doi : 10.5802/aif.1845. http://www.numdam.org/articles/10.5802/aif.1845/

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