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arXiv · 1801.06849

Multiplicity of singularities is not a bi-Lipschitz invariant

Lev Birbrair·Alexandre Fernandes·J. Edson Sampaio·Misha Verbitsky
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Abstract

It was conjectured that multiplicity of a singularity is bi-Lipschitz invariant. We disprove this conjecture, constructing examples of bi-Lipschitz equivalent complex algebraic singularities with different values of multiplicity.

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Lev Birbrair, Alexandre Fernandes, J. Edson Sampaio, Misha Verbitsky. 2018-01-21. Multiplicity of singularities is not a bi-Lipschitz invariant. https://doi.org/10.1007/s00208-020-01958-x

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