BIJECTIVENESS OF THE NASH MAP FOR QUASI-ORDINARY HYPERSURFACE SINGULARITIES

Pedro Daniel Gonzalez Perez (1)

1 Departamento de Álgebra [Madrid]

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.

Mots clés: Nash problem; arc space; quasi-ordinary singularities; toric singularities

Domaines: Géométrie algébrique [math.AG]

Pedro Daniel Gonzalez Perez. BIJECTIVENESS OF THE NASH MAP FOR QUASI-ORDINARY HYPERSURFACE SINGULARITIES. International Mathematics Research Notices, 2007, 13 p. ⟨10.1093/imrn/rnm076⟩. ⟨hal-00144581v2⟩