Asian Journal of Mathematics
Volume 10 (2006)
A discriminant criterion for an equivalence of an analytic family of plane curve singularities and its applications
Pages: 715 – 730
In this paper, we generalize Zariski's discriminant criterion under which an analytic family of plane curve singularities are equivalent. Furthermore, we give a necessary condition of local irreducibility of plane curves with singularities.
Topological equivalence of plane curve singularities; the standard Puiseux expansion; the Milnor number
2010 Mathematics Subject Classification
Primary 32S15. Secondary 14E15.