Multiplicity of singularities is not a bi-Lipschitz invariant

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.

8 pages

References in corpus (3)

• Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms
• Multiplicity and degree as bi-Lipschitz invariants for complex sets
• Seifert $G_m$-bundles