Multiplicity of singularities is not a bi-Lipschitz invariant
Algebraic Geometry
2021-09-20 v1
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.
Keywords
Cite
@article{arxiv.1801.06849,
title = {Multiplicity of singularities is not a bi-Lipschitz invariant},
author = {Lev Birbrair and Alexandre Fernandes and J. Edson Sampaio and Misha Verbitsky},
journal= {arXiv preprint arXiv:1801.06849},
year = {2021}
}
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8 pages