Conditions de régularité et éclatements. (Regularity conditions and blowing-ups)

DOI10.5802/aif.1103zbMath0596.32018OpenAlexW1998045431MaRDI QIDQ1078374

Michel Merle, Jean-Pierre Henry

Publication date: 1987

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1987__37_3_159_0

zbMATH Keywords

equisingularityregularity conditionsstratificationspolar varietiesSchubert cyclesWhitney conditionNash modificationThom conditionconormal spacedirimantsintersections of cyclesNash blowing-up

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Complex singularities (32Sxx)

Related Items

The Thom condition along a line ⋮ Équisingularité réelle : nombres de Lelong et images polaires ⋮ Stratifications, equisingularity and triangulation ⋮ Unnamed Item ⋮ Stratification Theory ⋮ The Lê varieties. II ⋮ Lê Cycles and Numbers of Hypersurface Singularities ⋮ Limits of tangent spaces to fibres and the \(w_ f\) condition

Cites Work

• Conditions de Whitney et sections planes
• Variétés polaires locales et classes de Chern des variétés singulieres
• Les conditions de Whitney impliquent `\(\mu(*)\) constant'
• Stratifications de Whitney et théorème de Bertini-Sard
• Micro-hyperbolic systems
• Tangents to an analytic variety
• Normal cones in analytic Whitney stratifications
• Sur la condition de Thom stricte pour un morphisme analytique complexe
• Ensembles et morphismes stratifiés
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