no. 3
A propos du problème des arcs de Nash
[On Nash problem of arc]
Annales de l'Institut Fourier, Volume 55 (2005) no. 3, pp. 805-823.

Let ℋ=⋃N i the canonical decomposition of the space of arcs passing through a normal surface singularity. In this paper, we give two new conditions to ensure that N i is not included in N j . These conditions allow us to give two different direct demonstration of Nah problem for minimal sandwiched singularities.

Soit ℋ=⋃N i la décomposition canonique de l’espace des arcs ℋ passant par une singularité normale de surface. Dans cet article, on propose deux nouvelles conditions qui si elles sont vérifiées permettent de montrer que N i n’est pas inclus dans N j . On applique ces conditions pour donner deux nouvelles preuves du problème de Nash pour les singularités sandwich minimales.

DOI: 10.5802/aif.2115
Classification: 14J17
Keywords: geometry algebraic, space of arcs, minimal sandwiched singularities, problem of Nash 
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Plénat, Camille. A propos du problème des arcs de Nash. Annales de l'Institut Fourier, Volume 55 (2005) no. 3, pp. 805-823. doi : 10.5802/aif.2115. https://aif.centre-mersenne.org/articles/10.5802/aif.2115/

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