Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 1996; 33(2): 367-379

Printed June 1, 1996

Copyright © The Korean Mathematical Society.

Some analytic irreducible plane curve singularities

Chunghyuk Kang

Seoul National University

Abstract

We classify irreducible plane curve singularities of the
type $z^n +Ay^\alpha z^p+y^\beta z^q+y^k=0$ where $1\le q n-2$, $1\le \alpha <\beta \le k-2$, $\alpha +p\le \beta +q$, $\frac
\alpha{n-p}>\frac \beta{n-q}$, $n complex number. Also, we generalize this result.

Keywords: plane curve singularities, analytic equivalence

MSC numbers: Primary 32S15, 14E15

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