Canonical Resolution of a Quasi-ordinary Surface Singularity

Details Canonical Resolution of a Quasi-ordinary Surface Singularity Canonical Resolution of a Quasi-ordinary Surface Singularity

1998-12-17

arxiv.org/abs/math/9812101v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

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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