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arxiv: 1201.6579 · v1 · pith:K52L4CQRnew · submitted 2012-01-31 · 🧮 math.AC · math.AG

One branch curve singularities with at most 2-parameter families of ideals

classification 🧮 math.AC math.AG
keywords branchcurvefamiliesidealsparametersingularitiesarnoldclassification
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A criterion is given in order that the ideals of a one branch curve singularity form at most 2-parameter families. Namely, we present a list of plane curve singularities from the Arnold's classification which are the smallest among all one branch singularities having at most 2-parameter families of ideals.

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