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

• Published in: Algebra and Discrete Mathematics
• Date: 2012
• ISSN: 1726-3255
• Main Authors: Drozd, Yu.A., Skuratovskii, R.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152207
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: One branch curve singularities with at most 2-parameter families of ideals / Yu.A. Drozd,
 R.V. Skuratovskii // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 2. — С. 209–219. — Бібліогр.: 16 назв. — англ.

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 familie...