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

2025/03/03 by Câmara, Leonardo, Fernandes, Alexandre
#(primary) 32S15 #(secondary) 14B05 #32S05 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.02085

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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