## A solution to the Nash problem of arcs for rational double points $$D_n$$. (Résolution du probléme des arcs de Nash pour les points doubles rationnels $$D_{n}$$.)(French)Zbl 1072.14004

Summary: 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 $$D_n (n \geqslant 4)$$.

### MSC:

 14B05 Singularities in algebraic geometry 14J17 Singularities of surfaces or higher-dimensional varieties 32S25 Complex surface and hypersurface singularities
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### References:

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