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 Algebra Discrete Math.: Year: Volume: Issue: Page: Find

 Algebra Discrete Math., 2012, Volume 13, Issue 2, Pages 209–219 (Mi adm74)

RESEARCH ARTICLE

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

Yuriy A. Drozda, Ruslan V. Skuratovskiib

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.

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Bibliographic databases:
MSC: Primary 13C05; Secondary 14H20
Accepted:31.01.2012
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Citation: Yuriy A. Drozd, Ruslan V. Skuratovskii, “One branch curve singularities with at most 2-parameter families of ideals”, Algebra Discrete Math., 13:2 (2012), 209–219

Citation in format AMSBIB
\Bibitem{DroSku12} \by Yuriy~A.~Drozd, Ruslan~V.~Skuratovskii \paper One branch curve singularities with at most 2-parameter families of ideals \jour Algebra Discrete Math. \yr 2012 \vol 13 \issue 2 \pages 209--219 \mathnet{http://mi.mathnet.ru/adm74} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3027507} \zmath{https://zbmath.org/?q=an:06120571}