Bounding Solutions of Pfaff Equations

DOI10.1081/AGB-120022442zbMath1081.32020arXivmath/0304148MaRDI QIDQ4418329

Eduardo Esteves, Steven Lawrence Kleiman

Publication date: 7 August 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304148

Mathematics Subject Classification ID

Pfaffian systems (58A17) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (10)

Poincaré problem for weighted projective foliations ⋮ The Poincaré problem for foliations on compact toric orbifolds ⋮ On Fano foliations ⋮ GSV-index for holomorphic Pfaff systems ⋮ On some foliations arising in \(\mathcal D\)-module theory ⋮ INEQUALITIES FOR CHARACTERISTIC NUMBERS OF FLAGS OF DISTRIBUTIONS AND FOLIATIONS ⋮ Classification of holomorphic Pfaff systems on Hopf manifolds ⋮ On holomorphic distributions on Fano threefolds ⋮ A note on Poincaré’s problem for quasi-homogeneous foliations ⋮ Catching Tangent Curves in Fields of Lines

Cites Work

• Résidus des sous-variétés invariantes d'un feuilletage singulier. (Residues of invariant submanifolds of singular foliations)
• Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
• Equations de Pfaff algébriques
• The Poincaré problem for hypersurfaces invariant by one-dimensional foliations
• Bounds on leaves of one-dimensional foliations
• Diophantine approximations and foliations
• Sur ĽintÉgration algÉbrique des Équations diffÉrentielles du premier ordre et du premier degrÉ
• Application of the theory of the discriminant to highly singular plane curves
• Invariant Curves by Vector Fields on Algebraic Varieties

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