Toric embedded resolutions of quasi-ordinary hypersurface singularities

Details Toric embedded resolutions of quasi-ordinary hypersurface singularities Toric embedded resolutions of quasi-ordinary hypersurface singularities

2003-06-18

arxiv.org/abs/math/0306270v1

Mathematics

Algebraic Geometry

To apear in Annales de l'Institut Fourier (Grenoble)

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Toric embedded resolutions of quasi-ordinary hypersurface singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Toric embedded resolutions of quasi-ordinary hypersurface singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toric embedded resolutions of quasi-ordinary hypersurface singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-51160