Differential invariance of the multiplicity of real and complex analytic sets

DOI10.5565/PUBLMAT6612214zbMath1484.14004arXiv2009.13643MaRDI QIDQ2075314

José Edson Sampaio

Publication date: 14 February 2022

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13643

zbMATH Keywords

multiplicityanalytic setsZariski's multiplicity conjecture

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Real algebraic and real-analytic geometry (14Pxx)

Related Items (2)

Multiplicity, regularity and blow-spherical equivalence of real analytic sets ⋮ On the Fukui–Kurdyka–Paunescu conjecture

Cites Work

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• Densité des ensembles sous-analytiques. (On the density of subanalytic sets)
• Differential invariance of multiplicity on analytic varieties
• \(C^n\) preservation of multiplicity
• Multiplicity, regularity and Lipschitz geometry of real analytic hypersurfaces
• A proof of the differentiable invariance of the multiplicity using spherical blowing-up
• Multiplicity \(mod \, 2\) as a metric invariant
• Introduction to the theory of analytic spaces
• Équisingularité réelle : nombres de Lelong et images polaires
• The Cartesian Product Structure and C ∞ Equivalences of Singularities
• Some open questions in the theory of singularities
• Invariant curves and topological invariants for real plane analytic vector fields

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