The Local Nash problem on arc families of singularities
[Le problème du Nash local sur les familles d’arc de singularités]
Annales de l'Institut Fourier, Tome 56 (2006) no. 4, pp. 1207-1223.

Cet article présente la réponse positive au problème du Nash local pour une singularité torique ainsi que pour une singularité analytiquement prétorique. Il en résulte comme corollaire une réponse affirmative au problème du Nash local pour une singularité quasi ordinaire.

This paper shows the affirmative answer to the local Nash problem for a toric singularity and analytically pretoric singularity. As a corollary we obtain the affirmative answer to the local Nash problem for a quasi-ordinary singularity.

DOI : https://doi.org/10.5802/aif.2210
Classification : 14J17,  14M25
Mots clés : arc de singularité, problème de Nash, singularité
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     title = {The {Local} {Nash} problem on arc families of singularities},
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Ishii, Shihoko. The Local Nash problem on arc families of singularities. Annales de l'Institut Fourier, Tome 56 (2006) no. 4, pp. 1207-1223. doi : 10.5802/aif.2210. http://www.numdam.org/articles/10.5802/aif.2210/

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