Toric embedded resolutions of quasi-ordinary hypersurface singularities - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2003

Toric embedded resolutions of quasi-ordinary hypersurface singularities

Résumé

We build two embedded resolution procedures of a quasi-ordinary singularity of complex analytic hypersurface, by using toric morphisms which depend only on the characteristic monomials associated to a quasi-ordinary projection of the singularity. This result answers an open problem of Lipman in Equisingularity and simultaneous resolution of singularities, Resolution of Singularities, Progress in Mathematics No. 181, 2000, 485-503. In the first procedure the singularity is embedded as hypersurface. In the second procedure, which is inspired by a work of Goldin and Teissier for plane curves (see Resolving singularities of plane analytic branches with one toric morphism,loc. cit., pages 315-340), we re-embed the singularity in an affine space of bigger dimension in such a way that one toric morphism provides its embedded resolution. We compare both procedures and we show that they coincide under suitable hypothesis.
Fichier principal
Vignette du fichier
res.pdf (565 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00000423 , version 1 (18-06-2003)

Identifiants

Citer

Pedro Daniel Gonzalez Perez. Toric embedded resolutions of quasi-ordinary hypersurface singularities. 2003. ⟨hal-00000423⟩
149 Consultations
103 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More