We give a method for computing the Nash transform (and its normalization) of a surface singularity for which one has an explicit resolution. As an example we compute the resolution of the rational double points obtained by iteration of the Nash transform normalized.
Nous présentons une méthode qui permet de calculer le transformée de Nash (et sa normalisation) d’une singularité de surface pour laquelle on dispose d’une résolution explicite. Comme exemple nous calculons la résolution des points doubles rationnels obtenue par itération du transformé de Nash normalisé.
@article{AIF_1982__32_2_111_0, author = {Gonzalez-Sprinberg, Gerardo}, title = {R\'esolution de {Nash} des points doubles rationnels}, journal = {Annales de l'Institut Fourier}, pages = {111--178}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {32}, number = {2}, year = {1982}, doi = {10.5802/aif.874}, zbl = {0469.14019}, mrnumber = {84m:14014}, language = {fr}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.874/} }
TY - JOUR AU - Gonzalez-Sprinberg, Gerardo TI - Résolution de Nash des points doubles rationnels JO - Annales de l'Institut Fourier PY - 1982 SP - 111 EP - 178 VL - 32 IS - 2 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.874/ DO - 10.5802/aif.874 LA - fr ID - AIF_1982__32_2_111_0 ER -
%0 Journal Article %A Gonzalez-Sprinberg, Gerardo %T Résolution de Nash des points doubles rationnels %J Annales de l'Institut Fourier %D 1982 %P 111-178 %V 32 %N 2 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.874/ %R 10.5802/aif.874 %G fr %F AIF_1982__32_2_111_0
Gonzalez-Sprinberg, Gerardo. Résolution de Nash des points doubles rationnels. Annales de l'Institut Fourier, Volume 32 (1982) no. 2, pp. 111-178. doi : 10.5802/aif.874. https://aif.centre-mersenne.org/articles/10.5802/aif.874/
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