Constructing blow-analytic isomorphisms
[Construire des isomorphismes "blow-analytiques"]
Fukui, Toshizumi ; Kuo, Tzee-Char ; Paunescu, Laurentiu
Annales de l'Institut Fourier, Tome 51 (2001), p. 1071-1087 / Harvested from Numdam
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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.

Publié le : 2001-01-01
DOI : https://doi.org/10.5802/aif.1845
Classification:  32B20,  14Pxx
Mots clés: blow-analytique, arc-analytique 
@article{AIF_2001__51_4_1071_0,
     author = {Fukui, Toshizumi and Kuo, Tzee-Char and Paunescu, Laurentiu},
     title = {Constructing blow-analytic isomorphisms},
     journal = {Annales de l'Institut Fourier},
     volume = {51},
     year = {2001},
     pages = {1071-1087},
     doi = {10.5802/aif.1845},
     mrnumber = {1849215},
     zbl = {0984.32005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2001__51_4_1071_0}
}

Fukui, Toshizumi; Kuo, Tzee-Char; Paunescu, Laurentiu. Constructing blow-analytic isomorphisms. Annales de l'Institut Fourier, Tome 51 (2001) pp. 1071-1087. doi : 10.5802/aif.1845. http://gdmltest.u-ga.fr/item/AIF_2001__51_4_1071_0/

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