Résolution de Nash des points doubles rationnels
Gonzalez-Sprinberg, Gerardo
Annales de l'Institut Fourier, Tome 32 (1982), p. 111-178 / Harvested from Numdam
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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.

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.

@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},
     volume = {32},
     year = {1982},
     pages = {111-178},
     doi = {10.5802/aif.874},
     mrnumber = {84m:14014},
     zbl = {0469.14019},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIF_1982__32_2_111_0}
}

Gonzalez-Sprinberg, Gerardo. Résolution de Nash des points doubles rationnels. Annales de l'Institut Fourier, Tome 32 (1982) pp. 111-178. doi : 10.5802/aif.874. http://gdmltest.u-ga.fr/item/AIF_1982__32_2_111_0/

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