Puiseux parametric equations of analytic sets

Aroca, Fuensanta

doi:10.1090/S0002-9939-04-07337-X

Puiseux parametric equations of analytic sets
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Proc. Amer. Math. Soc. 132 (2004), 3035-3045 Request permission

Abstract:

We prove the existence of local Puiseux-type parameterizations of complex analytic sets via Laurent series convergent on wedges. We describe the wedges in terms of the Newton polyhedron of a function vanishing on the discriminant locus of a projection. The existence of a local parameterization of quasi-ordinary singularities of complex analytic sets of any codimension will come as a consequence of our main result.

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