A constructive proof of the density of algebraic Pfaff equations without algebraic solutions
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Publication:2461182
DOI10.5802/aif.2308zbMath1130.34065OpenAlexW2465389672MaRDI QIDQ2461182
Publication date: 27 November 2007
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2007__57_5_1611_0
Algebraic numbers; rings of algebraic integers (11R04) Ordinary differential equations on complex manifolds (34M45)
Related Items (3)
On the construction of holomorphic foliations without invariant subvarieties of positive dimension ⋮ Existence and uniqueness theorems for the Pfaff equation with continuous coefficients ⋮ An existence theorem and an approximate solution method for a Pfaff equation with continuous coefficients
Cites Work
- Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
- Equations de Pfaff algébriques
- Some remarks on indices of holomorphic vector fields
- On the nonexistence of constants of derivations: the proof of a theorem of Jouanolou and its development
- Algebraic solutions of holomorphic foliations: an algorithmic approach
- Elementary First Integrals of Differential Equations
- On the density of algebraic foliations without algebraic invariant sets
- Around Jouanolou non-integrability theorem
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