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bi-Lipschitz versus Analytic equivalence of two variable complex quasihomogeneous function-germs

Câmara, Leonardo et al.
arXiv (All) · Papers
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algebraic-geometrycomplex-variables
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 $0\in\mathbb{C}^{2}$ iff they are analytically
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