On the Computational Complexity of the Resolution of Plane Curve Singularities

Abstract

We present an algorithm which computes the resolution of a plane curve singularity at the origin defined by a power series with coefficients in a (not necessarily algebraically closed) field k of characteristic zero. We estimate the number of £-operations necessary to compute the resolution and the conductor ideal of the singularity. We show that the number… (More)
DOI: 10.1007/3-540-51084-2_27

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