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Canonical Resolution of a Quasi-ordinary Surface Singularity

1998/12/17 by Chunsheng Ban, Ban, Chunsheng, Lee J. McEwan +1
Mathematics · #14B05 #14E15 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14B05 #msc:14E15

paper · pdf · doi:10.48550/arxiv.math/9812101

14 pages

arxiv created 1998/12/17 · arxiv updated 2009/11/30

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.

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