One branch curve singularities with at most 2-parameter families of ideals
Algebra and discrete mathematics, Tome 13 (2012) no. 2, pp. 209-219
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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
Mots-clés : sandwich technique.
Mots-clés : sandwich technique.
@article{ADM_2012_13_2_a4,
author = {Yuriy A. Drozd and Ruslan V. Skuratovskii},
title = {One branch curve singularities with at most 2-parameter families of ideals},
journal = {Algebra and discrete mathematics},
pages = {209--219},
publisher = {mathdoc},
volume = {13},
number = {2},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2012_13_2_a4/}
}
TY - JOUR AU - Yuriy A. Drozd AU - Ruslan V. Skuratovskii TI - One branch curve singularities with at most 2-parameter families of ideals JO - Algebra and discrete mathematics PY - 2012 SP - 209 EP - 219 VL - 13 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2012_13_2_a4/ LA - en ID - ADM_2012_13_2_a4 ER -
Yuriy A. Drozd; Ruslan V. Skuratovskii. One branch curve singularities with at most 2-parameter families of ideals. Algebra and discrete mathematics, Tome 13 (2012) no. 2, pp. 209-219. http://geodesic.mathdoc.fr/item/ADM_2012_13_2_a4/