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

• Date: 2018
• Main Authors: Drozd, Yuriy A., Skuratovskii, Ruslan V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Curve singularity; ideal; family of ideals; sandwich technique; Primary 13C05; Secondary 14H20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/701
• Journal Title: Algebra and Discrete Mathematics

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...