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# Canonical Resolution of a Quasi-ordinary Surface Singularity

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