On the bi-Lipschitz contact equivalence of plane complex function-germs

DOI10.5427/jsing.2015.13azbMath1325.14009arXiv1308.4933OpenAlexW2963773738MaRDI QIDQ5246746

Vincent Grandjean, Alexandre C. G. Fernandes, Lev Birbrair

Publication date: 22 April 2015

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4933

zbMATH Keywords

plane complex analytic function germsright topologically equivalencesubanalytically bi-Lipschitz contact equivalence

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Local complex singularities (32S05)

Uses Software

• planebranches.mws

Cites Work

• \(C ^{0}\) and bi-Lipschitz \({\mathcal{K}}\)-equivalence of mappings
• Topological equivalence of complex curves and bi-lipschitz homeomorphisms
• A criterion for topological equivalence of two variable complex analytic function germs
• The analytic classification of plane curves with two branches
• Lipschitz geometry of complex curves
• The analytic classification of plane branches
• $\mathcal{K}$-bi-Lipschitz equivalence of real function-germs
• Lipschitz contact equivalence of function germs in R^2
• Studies in Equisingularity II. Equisingularity in Codimension 1 (and Characteristic Zero)
• Kennzeichnung der Schlauchknoten