## A family of quai-rational hypersurfaces with bijective Nash map. (Une famille dhypersurfaces quasi-rationnelles avec application de Nash bijective.)(French)Zbl 1221.14017

This paper shows the affirmative answer to the Nash problem for two-dimensional hypersurface singularities of special type including $$E_6$$ and $$E_7$$. The author also proves that if the Nash map is bijective for a normal surface singularity, then the Nash map is also bijective for the normal singularity obtained by contracting a subdivisor of the exceptional divisor on the minimal resolution.

### MSC:

 14E18 Arcs and motivic integration 14B05 Singularities in algebraic geometry

### Keywords:

Nash problem; arc space
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### References:

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