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# Canonical Resolution of a Quasi-ordinary Surface Singularity

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Published:2000-12-01
Printed: Dec 2000
• Chunsheng Ban
• Lee J. McEwan
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## 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]

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