Description

• Title:
  Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities
• Creator:
  Michalska, Maria;
  Walewska, Justyna
• Contributor:
  Uniwersytet Łódzki, Wydział Matematyki i Informatyki, Banacha 22, 90-238 Łódź, Polska;
  Universidade de São Paulo, ICMC, Avenida Trabalhador São-carlense, 400 Centro, 13566-590 São Carlos, SP, Brazil;
  Maria.Michalska@math.uni.lodz.pl
• Description:
  The aim of this paper is to show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularity f. Assuming that f is irreducible, one can write f=∑qα+pβ ≥ pqcαβ xαyβ where cp0c0q≠0, 2≤p<q and p, q are coprime. We show that as Milnor numbers of deformations of f one can attain all numbers from μ(f) to μ(f)−r(p−r), where q≡r(mod p). Moreover, we provide an algorithm which produces the desired deformations.
• Object availability:
  free access
• Rights:
  Uznanie autorstwa 4.0 Międzynarodowe;
  http://creativecommons.org/licenses/by/4.0
• Date:
  2021.12.16;
  2019
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Springer Nature
• Relation:
  Bulletin of the Brazilian Mathematical Society, New Series;50
• Subject:
  Milnor numbers;
  Deformations of singularities;
  Nondegenerate singularities;
  Euclid’s algorithm;
  Newton polygon
• Identifier:
  Michalska, M., Walewska, J. Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities. Bull Braz Math Soc, New Series 50, 95–117 (2019). https://doi.org/10.1007/s00574-018-0094-8;
  1678-7544;
  http://hdl.handle.net/11089/40065 ;
  1678-7714;
  10.1007/s00574-018-0094-8
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  image