Publications de l'Institut Mathématique, Nouvelle Série Vol. 81(95), pp. 69–78 (2007) 

ANALYTIC EQUIVALENCE OF PLANE CURVE SINGULARITIES $y^{n}+x^{\alpha}y+x^{\beta}A(x)=0$A. Lipkovski, V. StepanovicMatematicki fakultet, Beograd, Serbia and Poljoprivredni fakultet, Zemun, SerbiaAbstract: There are not many examples of complete analytical classification of specific families of singularities, even in the case of plane algebraic curves. In 1989, Kang and Kim published a paper on analytical classification of plane curve singularities $y^{n}+a(x)y+b(x)=0$, or, equivalently, $y^{n}+x^{\alpha}y+x^{\beta}A(x)=0$ where $A(x)$ is a unit in $\mathbb{C}t\{x\}$, $\alpha$ and $\beta$ are integers, $\alpha\geq n1$ and $\beta\geq n$. The classification was not complete in the most difficult case $\frac{\alpha}{n1}=\frac{\beta}{n}$. In the present paper, the classification is extended also in this case, the proofs are improved and some gaps are removed. Classification (MSC2000): 14B05, 14H20; 32S15 Full text of the article: (for faster download, first choose a mirror)
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