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

Algebra and Discrete Math. 13, no.2 (2012), 209-219 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.