Bi-Lipschitz geometry of complex surface singularities

DOI10.1007/s10711-008-9333-2zbMath1164.32005arXiv0804.0194OpenAlexW2059771598MaRDI QIDQ1018078

Walter D. Neumann, Lev Birbrair, Alexandre C. G. Fernandes

Publication date: 13 May 2009

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0194

zbMATH Keywords

complex singularitiesconical singularitiesweighted homogeneous singularitiesinner metricbi-Lipschitz equivalenceBriançon-Speder family

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Singularities of surfaces or higher-dimensional varieties (14J17) Local complex singularities (32S05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items

Choking horns in Lipschitz geometry of complex algebraic varieties. Appendix by Walter D. Neumann ⋮ An introduction to Lipschitz geometry of complex singularities ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ Bi-Lipschitz geometry of weighted homogeneous surface singularities ⋮ Separating sets on semi-weighted homogeneous hypersurface singularities ⋮ The thick-thin decomposition and the bilipschitz classification of normal surface singularities ⋮ Separating sets, metric tangent cone and applications for complex algebraic germs ⋮ A topological introduction to Lipschitz geometry of complex singularities

Cites Work

• Bi-Lipschitz geometry of weighted homogeneous surface singularities
• Intégration des fonctions sous-analytiques et volumes des sous-ensembles sous-analytiques. (Integration of subanalytic functions and volumes of subanalytic subspaces)
• Metric homology for isolated conical singularities.
• Metric homology
• Inner metric geometry of complex algebraic surfaces with isolated singularities
• The link of the germ of a semi-algebraic metric space
• Metric theory of semialgebraic curves
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