Abstract

The purpose of these notes is to explain why a generic projection to a plane of a reduced germ of complex analytic space curve is a bi-Lipschitz homeomorphism for the outer metric. This is related to the fact that all topologically equivalent germs of plane curves are exactly the generic projections of a single germ of a space curve. The analytic algebra of this germ is the algebra of Lipschitz meromorphic functions on any of its generic projections. An application to the Lipschitz geometry of polar curves is given.

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