Multiplicity, regularity and blow-spherical equivalence of real analytic sets

DOI10.1007/s00209-021-02928-yzbMath1491.14005arXiv2105.09769OpenAlexW2590825397MaRDI QIDQ2126072

José Edson Sampaio

Publication date: 14 April 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09769

zbMATH Keywords

multiplicityreal analytic setsblow-spherical equivalence

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Topology of real algebraic varieties (14P25) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items (1)

On the Fukui–Kurdyka–Paunescu conjecture

Cites Work

• Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones
• Elementary structure of real algebraic varieties
• The differentiable-invariance of the algebraic multiplicity of a holomorphic vector field
• On classification of real singularities
• Densité des ensembles sous-analytiques. (On the density of subanalytic sets)
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Differential invariance of multiplicity on analytic varieties
• Calcul du nombre de cycles evanouissants d'une hypersurface complexe
• \(C^n\) preservation of multiplicity
• The thick-thin decomposition and the bilipschitz classification of normal surface singularities
• Differential invariance of the multiplicity of real and complex analytic sets
• A proof of the differentiable invariance of the multiplicity using spherical blowing-up
• On the geometry of sets satisfying the sequence selection property
• Multiplicity \(mod \, 2\) as a metric invariant
• Lipschitz geometry of curves and surfaces definable in o-minimal structures
• Multiplicity, regularity and blow-spherical equivalence of complex analytic sets
• Lipschitz regular complex algebraic sets are smooth
• A Proof of the Jordan Curve Theorem
• The Cartesian Product Structure and C ∞ Equivalences of Singularities
• Thin-thick decomposition for real definable isolated singularities
• Singular Points of Complex Hypersurfaces. (AM-61)
• Some open questions in the theory of singularities
• Invariant curves and topological invariants for real plane analytic vector fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multiplicity, regularity and blow-spherical equivalence of real analytic sets