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Trends in Mathematics
We investigate the relationships between the Lipschitz outer geometry and the embedded topological type of a hypersurface germ in (C n , 0). It is well known that the Lipschitz outer geometry of a complex plane curve germ determines and is determined by its embedded topological type. We prove that this does not remain true in higher dimensions. Namely, we give two normal hypersurface germs (X 1 , 0) and (X 2 , 0) in (C 3 , 0) having the same outer Lipschitz geometry and different embeddeddoi:10.1007/978-3-319-39339-1_11 fatcat:uyxbe7lcnjckron6biqqzja2cu