Differential algebra and Liouvillian first integrals of foliations
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Publication:626718
DOI10.1016/j.jpaa.2010.06.023zbMath1232.37031OpenAlexW2030936575MaRDI QIDQ626718
Publication date: 18 February 2011
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.06.023
Differential algebra (12H05) Dynamical aspects of holomorphic foliations and vector fields (37F75) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)
Related Items (4)
Integrating factors for groups of formal complex diffeomorphisms ⋮ Darboux-Jouanolou integrability over arbitrary fields ⋮ A geometric-analytic study of linear differential equations of order two ⋮ On groups of formal diffeomorphisms of several complex variables
Cites Work
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- Equations de Pfaff algébriques
- Invariant varieties through singularities of holomorphic vector fields
- Foliations: geometric studies
- Existence d'une intégrale première méromorphe pour des germes de feuilletages a feuilles fermées du plan complexe. (Existence of a meromorphic first integral for the germs of foliations with closed leaves in the complex plane)
- Foliations with algebraic limit sets
- On Liouville's theory of elementary functions
- On a generalization of de Rham lemma
- On a theorem of J. -P. Jouanolou concerning closed leaves of holomorphic foliations
- Integration of complex differential equations
- Finite determinacy of dicritical singularities in \((\mathbb C^2 ,0)\)
- Holomorphic foliations with Liouvillian first integrals
- Holonomie et intégrales premières
- Liouvillian First Integrals of Differential Equations
- Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold
- Transversely affine and transversely projective holomorphic foliations
- Sur les hypersurfaces solutions des équations de Pfaff
- Reduction of Singularities of the Differential Equation Ady = Bdx
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