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arXiv · 2503.02085

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

Leonardo Câmara·Alexandre Fernandes
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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 $0\in\mathbb{C}^{2}$ iff they are analytically equivalent.

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Leonardo Câmara, Alexandre Fernandes. 2025-03-03. bi-Lipschitz versus Analytic equivalence of two variable complex quasihomogeneous function-germs. https://arxiv.org/abs/2503.02085

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