Yuriy A. Drozd, Ruslan V. Skuratovskii, “One branch curve singularities with at most 2-parameter families of ideals”, Algebra Discrete Math., 2012, Volume 13, Issue 2,Pages <nobr>209

RESEARCH ARTICLE

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

Yuriy A. Drozd^a, Ruslan V. Skuratovskii^b

^a Institute of Mathematics, National Academy of Sciences of Ukraine, Tereschenkivska 3, 01601 Kyiv, Ukraine
^b Kyiv National Taras Shevchenko University, Department of Mathematics, Volodymyrska 64, 01033 Kyiv, Ukraine

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 singularity, ideal, family of ideals, sandwich technique.

MSC: Primary 13C05; Secondary 14H20

Received: 31.01.2012
Accepted: 31.01.2012

Language: English