English

Canonical Resolution of a Quasi-ordinary Surface Singularity

Algebraic Geometry 2007-05-23 v1

Abstract

We describe the embedded resolution of a 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 (V,p) could in principle be obtained by computer using only the characteristic pairs.

Keywords

Cite

@article{arxiv.math/9812101,
  title  = {Canonical Resolution of a Quasi-ordinary Surface Singularity},
  author = {Chunsheng Ban and Lee J. McEwan},
  journal= {arXiv preprint arXiv:math/9812101},
  year   = {2007}
}

Comments

14 pages

R2 v1 2026-07-22T18:01:18.945Z