Cet article contient une condition générique permettant la linéarisation en classe , , des germes d’actions infinitésimales singulières de sur et de champs de vecteurs holomorphes singuliers sur . Cela généralise un résultat de S. Sternberg pour les germes de champs de vecteurs réels, singuliers, sur .
The paper contains a generic condition permitting the linearization in class , , of germs of singular infinitesimal -actions on and of singular holomorphic vector fields on . It generalizes a similar result of S. Sternberg for germs of singular (real) vector fields on .
@article{AIF_1980__30_1_31_0, author = {Dumortier, F. and Roussarie, Robert}, title = {Smooth linearization of germs of $R^2$-actions and holomorphic vector fields}, journal = {Annales de l'Institut Fourier}, pages = {31--64}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {30}, number = {1}, year = {1980}, doi = {10.5802/aif.774}, mrnumber = {81k:58060}, zbl = {0418.58015}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.774/} }
TY - JOUR AU - Dumortier, F. AU - Roussarie, Robert TI - Smooth linearization of germs of $R^2$-actions and holomorphic vector fields JO - Annales de l'Institut Fourier PY - 1980 SP - 31 EP - 64 VL - 30 IS - 1 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.774/ DO - 10.5802/aif.774 LA - en ID - AIF_1980__30_1_31_0 ER -
%0 Journal Article %A Dumortier, F. %A Roussarie, Robert %T Smooth linearization of germs of $R^2$-actions and holomorphic vector fields %J Annales de l'Institut Fourier %D 1980 %P 31-64 %V 30 %N 1 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/aif.774/ %R 10.5802/aif.774 %G en %F AIF_1980__30_1_31_0
Dumortier, F.; Roussarie, Robert. Smooth linearization of germs of $R^2$-actions and holomorphic vector fields. Annales de l'Institut Fourier, Tome 30 (1980) no. 1, pp. 31-64. doi : 10.5802/aif.774. http://archive.numdam.org/articles/10.5802/aif.774/
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