On Zariski’s multiplicity problem at infinity

DOI10.1090/proc/14351zbMath1411.14008arXiv1709.03373OpenAlexW2963498951WikidataQ114094229 ScholiaQ114094229MaRDI QIDQ4621347

José Edson Sampaio

Publication date: 12 February 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03373

zbMATH Keywords

degreeZariski's conjecturebi-Lipschitz equivalence at infinity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory of singularities (58K30) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Algebraic and analytic properties of mappings on manifolds (58K20)

Related Items

On the Fukui–Kurdyka–Paunescu conjecture, On Lipschitz geometry at infinity of complex analytic sets, Some classes of homeomorphisms that preserve multiplicity and tangent cones

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones
• Differential invariance of multiplicity on analytic varieties
• Multiplicity of singularities is not a bi-Lipschitz invariant
• On Lipschitz rigidity of complex analytic sets
• On Zariski’s multiplicity problem
• Lipschitz regular complex algebraic sets are smooth
• Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms
• On tangent cones at infinity of algebraic varieties
• A Global Lojasiewicz Inequality for Algebraic Varieties
• Bilipschitz Invariance of the Multiplicity
• Multiplicity and degree as bi-Lipschitz invariants for complex sets
• Some open questions in the theory of singularities