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arXiv · 1901.02758

Parametrization simple irreducible plane curve singularities in arbitrary characteristic

Hong-Duc Nguyen
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Abstract

We study the classification of plane curve singularities in arbitrary characteristic. We first give a bound for the determinacy of a plane curve singularity with respect to pararametrization equivalence in terms of its conductor. Then we classify parametrization simple plane curve singularities which are irreducible by giving a concrete list of normal forms of equations and parametrizations. In characteristic zero, the classification of parametrization simple irreducible plane curve singularities was achieved by Bruce and Gaffney.

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Hong-Duc Nguyen. 2019-01-09. Parametrization simple irreducible plane curve singularities in arbitrary characteristic. https://arxiv.org/abs/1901.02758

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