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

Yuriy A. Drozd; Ruslan V. Skuratovskii

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

Commutative Algebra 2015-01-27 v1 Algebraic Geometry

Authors: Yuriy A. Drozd , Ruslan V. Skuratovskii

Abstract

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.

Keywords

curve singularities ideals 2-parameter families Arnold's classification plane curve one branch

Cite

@article{arxiv.1201.6579,
  title  = {One branch curve singularities with at most 2-parameter families of ideals},
  author = {Yuriy A. Drozd and Ruslan V. Skuratovskii},
  journal= {arXiv preprint arXiv:1201.6579},
  year   = {2015}
}