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- W1557025587 abstract "We prove that the outer Lipschitz geometry of the germ of a normal complex surface singularity determines a large amount of its analytic structure. In particular, it follows that any analytic family of normal surface singularities with constant Lipschitz geometry is Zariski equisingular. We also prove a strong converse for families of normal complex hypersurface singularities in $C^3$: Zariski equisingularity implies Lipschitz triviality. So for such a family Lipschitz triviality, constant Lipschitz geometry and Zariski equisingularity are equivalent to each other." @default.
- W1557025587 created "2016-06-24" @default.
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- W1557025587 date "2012-11-20" @default.
- W1557025587 modified "2023-10-17" @default.
- W1557025587 title "Lipschitz geometry of complex surfaces: analytic invariants and equisingularity" @default.
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