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Canonical Resolution of a Quasi-ordinary Surface Singularity |
Canad. J. Math. 52(2000), 1149-1163
Published:2000-12-01
Printed: Dec 2000
Printed: Dec 2000
- Chunsheng Ban
- Lee J. McEwan
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 |
| MSC Classifications: |
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] |