The Local Nash problem on arc families of singularities
Annales de l'Institut Fourier, Volume 56 (2006) no. 4, p. 1207-1223

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.

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.

DOI : https://doi.org/10.5802/aif.2210
Classification:  14J17,  14M25
Keywords: Arc space, Nash problem, singularities
@article{AIF_2006__56_4_1207_0,
     author = {Ishii, Shihoko},
     title = {The Local Nash problem on arc families of singularities},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {56},
     number = {4},
     year = {2006},
     pages = {1207-1223},
     doi = {10.5802/aif.2210},
     mrnumber = {2266888},
     zbl = {1116.14030},
     language = {en},
     url = {http://www.numdam.org/item/AIF_2006__56_4_1207_0}
}
Ishii, Shihoko. The Local Nash problem on arc families of singularities. Annales de l'Institut Fourier, Volume 56 (2006) no. 4, pp. 1207-1223. doi : 10.5802/aif.2210. http://www.numdam.org/item/AIF_2006__56_4_1207_0/

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