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.

中文翻译：

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奇点的多重性不是双李普希茨不变量

据推测，奇点的多重性是双李普希茨不变的。我们反驳了这个猜想，构造了具有不同重数值的双李普希茨等效复代数奇点的例子。