Multiplicity of singularities is not a bi-Lipschitz invariant
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Publication:2182376
DOI10.1007/S00208-020-01958-XzbMath1442.32038arXiv1801.06849OpenAlexW2785206278MaRDI QIDQ2182376
Lev Birbrair, José Edson Sampaio, Misha Verbitsky, Alexandre C. G. Fernandes
Publication date: 23 May 2020
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06849
Singularities in algebraic geometry (14B05) Local complex singularities (32S05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)
Related Items (8)
Topological Equisingularity: Old Problems from a New Perspective (with an Appendix by G.-M. Greuel and G. Pfister on SINGULAR) ⋮ On the Fukui–Kurdyka–Paunescu conjecture ⋮ On Zariski’s multiplicity problem at infinity ⋮ Stratifications, equisingularity and triangulation ⋮ An introduction to Lipschitz geometry of complex singularities ⋮ A note on complex plane curve singularities up to diffeomorphism and their rigidity ⋮ A topological introduction to Lipschitz geometry of complex singularities ⋮ On the Zariski multiplicity conjecture for weighted homogeneous and Newton nondegenerate line singularities
Cites Work
- Unnamed Item
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- Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones
- On the structure of 5-manifolds
- Topological equivalence of complex curves and bi-lipschitz homeomorphisms
- Circle actions on simply connected 5-manifolds
- Simply connected five-manifolds
- Lipschitz regular complex algebraic sets are smooth
- Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms
- Characteristic Classes. (AM-76)
- Multiplicity and degree as bi-Lipschitz invariants for complex sets
- Ambient Lipschitz Equivalence of Real Surface Singularities
- Some open questions in the theory of singularities
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