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 , can be deformed via a rational blow- analytic isomorphism of , to a smooth analytic arc.
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.
Keywords: blow-analytic, arc-analytic
Mot clés : blow-analytique, arc-analytique
Fukui, Toshizumi 1; Kuo, Tzee-Char 2; Paunescu, Laurentiu 2
@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}, pages = {1071--1087}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {51}, number = {4}, year = {2001}, doi = {10.5802/aif.1845}, zbl = {0984.32005}, mrnumber = {1849215}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1845/} }
TY - JOUR AU - Fukui, Toshizumi AU - Kuo, Tzee-Char AU - Paunescu, Laurentiu TI - Constructing blow-analytic isomorphisms JO - Annales de l'Institut Fourier PY - 2001 SP - 1071 EP - 1087 VL - 51 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1845/ DO - 10.5802/aif.1845 LA - en ID - AIF_2001__51_4_1071_0 ER -
%0 Journal Article %A Fukui, Toshizumi %A Kuo, Tzee-Char %A Paunescu, Laurentiu %T Constructing blow-analytic isomorphisms %J Annales de l'Institut Fourier %D 2001 %P 1071-1087 %V 51 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1845/ %R 10.5802/aif.1845 %G en %F AIF_2001__51_4_1071_0
Fukui, Toshizumi; Kuo, Tzee-Char; Paunescu, Laurentiu. Constructing blow-analytic isomorphisms. Annales de l'Institut Fourier, Volume 51 (2001) no. 4, pp. 1071-1087. doi : 10.5802/aif.1845. https://aif.centre-mersenne.org/articles/10.5802/aif.1845/
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