Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 2
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- Pages.367-379
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
SOME ANALYTIC IRREDUCIBLE PLANE CURVE SINGULARITIES
Abstract
Let $V = {(z, y) : f(z, y) = z^n + Ay^\alpha z^p + y^\beta z^q + y^k = 0}$ and $W = {(z, y) : g(z, y) = z^n + By^\gamma z^s + y^\delta z^t + y^k = 0}$ be germs of analytic irreducible subvarieties of a polydisc near the origin in $C^2$ with n < k and (n, k) = 1 where A and B are complex numbers. Assume that V and W are topologically equivalent near the origin.