Finiteness theorems for Pfaffian manifolds

DOI10.5802/aif.1297zbMath0759.32005OpenAlexW2322684201MaRDI QIDQ1203374

C. Roche, Robert Moussu

Publication date: 8 February 1993

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1992__42_1-2_393_0

zbMATH Keywords

finitenessPfaffian equationssemi-analytic setsKhovanskij

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Foliations in differential topology; geometric theory (57R30) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Real algebraic and real-analytic geometry (14P99)

Related Items (10)

Topological types of Pfaffian manifolds ⋮ The theorem of the complement for nested sub-Pfaffian sets ⋮ Frontière d'une hypersurface pfaffienne ⋮ Topologie des hypersurfaces pfaffiennes ⋮ Structure locale et globale des feuilletages de Rolle, un théorème de fibration. (Local and global structure of Rolle foliations, a fibration theorem) ⋮ Homology of semi-pfaffian sets ⋮ Non-oscillating solutions of analytic gradient vector fields ⋮ Density of semi-pfaffian sets ⋮ Volumes, Rolle leaves of analytic foliations and Wilkie's theorem ⋮ Vector fields tangent to foliations and blow-ups

Cites Work

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• Structures feuilletées et cohomologie à valeur dans un faisceau de groupoïdes
• Real analytic varieties with the finiteness property and complex abelian integrals
• Semianalytic and subanalytic sets
• Equations de Pfaff algébriques
• The theory of Khovanskii and the problem of Dulac.
• Projections of semi-analytic sets
• The Structure of Rational and Ruled Symplectic 4-Manifolds
• Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
• Holonomie et intégrales premières
• Topological Properties of Subanalytic Sets
• Finite cyclicity of loops and cusps
• CYCLIC GROUPS OF AUTOMORPHISMS OF A COMPACT RIEMANN SURFACE
• Reduction of Singularities of the Differential Equation Ady = Bdx

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