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Lipschitz geometry of complex curves

We describe the Lipschitz geometry of complex curves. For the most part this is well known material, but we give a stronger version even of known results. In particular, we give a quick proof, without any analytic restrictions, that the outer Lipschitz geometry of a germ of a complex plane curve determines and is determined by its embedded topology. This was first proved by Pham and Teissier, but in an analytic category.

preprint2013arXivOpen access
Walter D. NeumannAnne Pichon
math.AG
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Walter D. NeumannAnne Pichon

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