bi-Lipschitz versus Analytic equivalence of two variable complex quasihomogeneous function-germs
Complex Variables
2025-03-05 v1 Algebraic Geometry
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 iff they are analytically equivalent.
Keywords
Cite
@article{arxiv.2503.02085,
title = {bi-Lipschitz versus Analytic equivalence of two variable complex quasihomogeneous function-germs},
author = {Leonardo Câmara and Alexandre Fernandes},
journal= {arXiv preprint arXiv:2503.02085},
year = {2025}
}