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arXiv · 1308.4933

On the bi-Lipschitz contact equivalence of plane complex function-germs

Lev Birbrair·Alexandre Fernandes·Vincent Grandjean
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Abstract

In this short note, we consider the problem of bi-Lipschitz contact equivalence of complex analytic function-germs of two variables. It is inquiring about the infinitesimal sizes of such function-germs, up to bi-Lipschitz changes of coordinates. We show that this problem is equivalent to the problem of the right topological classification.

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Lev Birbrair, Alexandre Fernandes, Vincent Grandjean. 2014-01-22. On the bi-Lipschitz contact equivalence of plane complex function-germs. https://arxiv.org/abs/1308.4933

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