Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms

DOI10.1112/jtopol/jtw014zbMath1353.14005arXiv1508.06250OpenAlexW2200604816MaRDI QIDQ2826651

Alexandre C. G. Fernandes, José Edson Sampaio

Publication date: 18 October 2016

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

Full work available at URL: https://arxiv.org/abs/1508.06250

zbMATH Keywords

Lelong numbersbi-Lipschitz equivalenceZariski's multiplicity conjecture

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items

Multiplicity, regularity and Lipschitz geometry of real analytic hypersurfaces ⋮ Local polar varieties in the geometric study of singularities ⋮ Multiplicity of singularities is not a bi-Lipschitz invariant ⋮ On the Fukui–Kurdyka–Paunescu conjecture ⋮ On Zariski’s multiplicity problem at infinity ⋮ Stratifications, equisingularity and triangulation ⋮ Some classes of homeomorphisms that preserve multiplicity and tangent cones ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ A topological introduction to Lipschitz geometry of complex singularities ⋮ On the Zariski multiplicity conjecture for weighted homogeneous and Newton nondegenerate line singularities ⋮ A proof of the differentiable invariance of the multiplicity using spherical blowing-up

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