Équisingularité réelle : nombres de Lelong et images polaires
From MaRDI portal
Publication:2711905
DOI10.1016/S0012-9593(00)01052-1zbMath0981.32018OpenAlexW2028216885MaRDI QIDQ2711905
Publication date: 20 August 2001
Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_2000_4_33_6_757_0
Equisingularity (topological and analytic) (32S15) Length, area, volume, other geometric measure theory (28A75) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)
Related Items
On the total curvatures of a tame function ⋮ Equisingularity of sections, (𝑡^{𝑟}) condition, and the integral closure of modules ⋮ Local polar varieties in the geometric study of singularities ⋮ Tangent cones and \(C^{1}\) regularity of definable sets ⋮ A motivic local Cauchy-Crofton formula ⋮ Microlocal study of topological Radon transforms and real projective duality ⋮ Capacity density of subanalytic sets in higher dimension ⋮ Polynomial bound on the local Betti numbers of a real analytic germ ⋮ Lipschitz-Killing curvatures and polar images ⋮ Whitney stratifications and the continuity of local Lipschitz–Killing curvatures ⋮ Directional properties of sets definable in o-minimal structures ⋮ Dirichlet regularity of subanalytic domains ⋮ Stratifications, equisingularity and triangulation ⋮ On the local geometry of definably stratified sets ⋮ Lipschitz continuity properties for \(p\)-adic semi-algebraic and subanalytic functions ⋮ Differential invariance of the multiplicity of real and complex analytic sets ⋮ Stratified critical points on the real Milnor fibre and integral-geometric formulas ⋮ Stratification Theory ⋮ Principal kinematic formulas for germs of closed definable sets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conditions de régularité et éclatements. (Regularity conditions and blowing-ups)
- Point réguliers d'un sous-analytique. (Regular points of a subanalytic set)
- Nombres de Lelong généralisés, théorèmes d'intégralité et d'analyticité. (Generalized Lelong numbers, integrability and analyticity theorems)
- Densité des ensembles sous-analytiques. (On the density of subanalytic sets)
- Whitney regularity and generic wings
- Conditions de Whitney et sections planes
- Subanalytic sets in the calculus of variation
- Variétés polaires locales et classes de Chern des variétés singulieres
- Stratification of real analytic mappings and images
- Les conditions de Whitney impliquent `\(\mu(*)\) constant'
- Stratifications de Whitney et théorème de Bertini-Sard
- Intégration des fonctions sous-analytiques et volumes des sous-ensembles sous-analytiques. (Integration of subanalytic functions and volumes of subanalytic subspaces)
- Théorème de préparation pour les fonctions logarithmico-exponentielles. (Preparation theorem for logarithmico-exponential functions)
- Log-analytic nature of the volume of subanalytic sets
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
- Geometric categories and o-minimal structures
- Intersection theory in analytic geometry
- The Lelong number of a point of a complex analytic set
- Projections of semi-analytic sets
- Normal cones in analytic Whitney stratifications
- Mehrfache Integrale auf komplexen Mannigfaltigkeiten
- Cône normal et régularités de Kuo-Verdier
- Foundations of a General Theory of Equisingularity on r-Dimensional Algebroid and Algebraic Varieties, of Embedding Dimension r + 1
- Intégration sur un ensemble analytique complexe
- Sur la condition de Thom stricte pour un morphisme analytique complexe
- On the Regular Stratifications and Conormal Structure of Subanalytic Sets
- Whitney (b)-regularity is weaker than Kuo's ratio test for real algebraic stratifications.
- Semi-Algebraic Local-Triviality in Semi-Algebraic Mappings
- On Equimultiple Subvarieties of Algebroid Hypersurfaces
- Topological Properties of Subanalytic Sets
- Equisingularite et Conditions de Whitney
- The Invariance of Milnor's Number Implies the Invariance of the Topological Type
- Formule de Cauchy-Crofton pour la densité des ensembles sous-analytiques
- Lipschitz stratification of subanalytic sets
- Studies in Equisingularity III: Saturation of Local Rings and Equisingularity
- Ensembles et morphismes stratifiés
- Some open questions in the theory of singularities
- The (φ, k) Rectifiable Subsets of n Space
- On the fundamental geometrical properties of linearly measurable plane sets of points. II
