Résolution du problème des arcs de Nash pour les points doubles rationnels Dn

This Note deals with the Nash problem, which claims that there are as many families of arcs on a singular germ of surface U as there are essential components of the exceptional divisor in the desingularisation of this singularity. We prove that this claim holds for the rational double points Dn(n⩾4). To cite this article: C. Plénat, C. R. Acad. Sci. Paris, Ser. I 340 (2005).