CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Canonical Resolution of a Quasi-ordinary Surface Singularity

  Published:2000-12-01
 Printed: Dec 2000
  • Chunsheng Ban
  • Lee J. McEwan
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

We describe the embedded resolution of an irreducible quasi-ordinary surface singularity $(V,p)$ which results from applying the canonical resolution of Bierstone-Milman to $(V,p)$. We show that this process depends solely on the characteristic pairs of $(V,p)$, as predicted by Lipman. We describe the process explicitly enough that a resolution graph for $f$ could in principle be obtained by computer using only the characteristic pairs.
Keywords: canonical resolution, quasi-ordinary singularity canonical resolution, quasi-ordinary singularity
MSC Classifications: 14B05, 14J17, 32S05, 32S25 show english descriptions Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx]
Singularities [See also 14B05, 14E15]
Local singularities [See also 14J17]
Surface and hypersurface singularities [See also 14J17]
14B05 - Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx]
14J17 - Singularities [See also 14B05, 14E15]
32S05 - Local singularities [See also 14J17]
32S25 - Surface and hypersurface singularities [See also 14J17]
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/