bi-Lipschitz versus Analytic equivalence of two variable complex quasihomogeneous function-germs
Abstract
In this paper we address the problem of classifying complex (non-homogeneous) quasihomogeneous polynomials in two variables under bi-Lipschitz equivalence. We prove that pairs of such polynomials are (right) bi-Lipschitz equivalent as function-germs at 0∈C2 iff they are analytically equivalent.
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