A proof of the differentiable invariance of the multiplicity using spherical blowing-up

DOI10.1007/S13398-018-0537-5zbMath1441.32010OpenAlexW2800851384MaRDI QIDQ2331745

José Edson Sampaio

Publication date: 30 October 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/1071

zbMATH Keywords

Ephraim-Trotman theoremGau-Lipman theoremZariski multiplicty problem

Mathematics Subject Classification ID

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

Related Items (2)

Multiplicity, regularity and blow-spherical equivalence of real analytic sets ⋮ Differential invariance of the multiplicity of real and complex analytic sets

Cites Work

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• Elementary structure of real algebraic varieties
• Densité des ensembles sous-analytiques. (On the density of subanalytic sets)
• Differential invariance of multiplicity on analytic varieties
• \(C^n\) preservation of multiplicity
• Intersection theory in analytic geometry
• Multiplicity, regularity and blow-spherical equivalence of complex analytic sets
• Multiplicity of analytic hypersurface singularities under bi-Lipschitz homeomorphisms
• 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

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