Foundations of a General Theory of Equisingularity on r-Dimensional Algebroid and Algebraic Varieties, of Embedding Dimension r + 1

DOI10.2307/2373987zbMath0417.14008OpenAlexW2330023397MaRDI QIDQ3207102

Oscar Zariski

Publication date: 1979

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373987

zbMATH Keywords

equisingularityembedding dimensionalgebroid subvarietyequivalence of singular points

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Special surfaces (14J25)

Related Items (11)

An example concerning a question of Zariski ⋮ Lipschitz stratification of complex hypersurfaces in codimension 2 ⋮ Zariski’s dimensionality type of singularities. Case of dimensionality type 2 ⋮ Équisingularité réelle : nombres de Lelong et images polaires ⋮ Lipschitz fractions of a complex analytic algebra and Zariski saturation ⋮ Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity ⋮ On equiresolution and a question of Zariski ⋮ Singularities of dimensionality type 1 ⋮ Unnamed Item ⋮ Variétés des courbes projectives planes de degré et lieu singulier donnes ⋮ Algebro-Geometric Equisingularity of Zariski

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