Toric embedded resolutions of quasi-ordinary hypersurface singularities
| dc.creator | Perez, Pedro Daniel Gonzalez | |
| dc.date | 2003-06-18 | |
| dc.date.accessioned | 2026-07-07T04:59:02Z | |
| dc.date.available | 2026-07-07T04:59:02Z | |
| dc.description | 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. | |
| dc.description | To apear in Annales de l'Institut Fourier (Grenoble) | |
| dc.identifier | https://arxiv.org/abs/math/0306270 | |
| dc.identifier | http://arxiv.org/abs/math/0306270 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67822 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S15, 32S45, 14M25, 14E15 | |
| dc.title | Toric embedded resolutions of quasi-ordinary hypersurface singularities | |
| dc.type | text |