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December 2006 A discriminant criterion for an equivalence of an analytic family of plane curve singularities and its applications
Chunghyuk Kang
Asian J. Math. 10(4): 715-730 (December 2006).

Abstract

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.

Citation

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Chunghyuk Kang. "A discriminant criterion for an equivalence of an analytic family of plane curve singularities and its applications." Asian J. Math. 10 (4) 715 - 730, December 2006.

Information

Published: December 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1141.32010
MathSciNet: MR2282360

Subjects:
Primary: 32S15
Secondary: 14E15

Keywords: the Milnor number , the standard Puiseux expansion , Topological equivalence of plane curve singularities

Rights: Copyright © 2006 International Press of Boston

Vol.10 • No. 4 • December 2006
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