Bijectiveness of the Nash Map for Quasi-Ordinary Hypersurface Singularities

Abstract

In this paper we give a positive answer to a question of Nash concerning the arc space of a singularity, for the class of quasi-ordinary hypersurface singularities, extending to this case previous results and techniques of Shihoko Ishii.

comments and references added

Cited by in corpus (3)

• Familles d'espaces de m-jets et d'espaces d'arcs
• The Nash problem of arcs and the rational double point ${\mathbf{E}}_6$
• Nash problem for a toric pair and the minimal log-discrepancy