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

2013/08/22 by Birbrair, Lev, Fernandes, Alexandre, Grandjean, Vincent
#32S05 #32S15 #58K05 58K40 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1308.4933

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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