no. 4
The Local Nash problem on arc families of singularities
[Le problème du Nash local sur les familles d’arc de singularités]
Ishii, Shihoko1
1 Tokyo Institute of Technology Department of Mathematics Oh-Okayama, Meguro 152-8551 Tokyo (Japan)
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 : 10.5802/aif.2210
Classification : 14J17, 14M25
Keywords: Arc space, Nash problem, singularities
Mot clés : arc de singularité, problème de Nash, singularité
Ishii, Shihoko 1

1 Tokyo Institute of Technology Department of Mathematics Oh-Okayama, Meguro 152-8551 Tokyo (Japan) 
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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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