Hypersurfaces invariant by Pfaff systems

DOI10.1142/S0219199714500515zbMath1338.32027arXiv1308.3251MaRDI QIDQ3465800

Márcio G. Soares, Luis. G. Maza, Maurício Barros Corrêa Jr.

Publication date: 22 January 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3251

zbMATH Keywords

Pfaff systemsalgebraic integrabilitycomplex manifolds, singular holomorphic foliations

Mathematics Subject Classification ID

Pfaffian systems (58A17) Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30)

Related Items (8)

Positive characteristic Darboux-Jouanolou integrability of differential forms ⋮ GSV-index for holomorphic Pfaff systems ⋮ Transversely holomorphic structures with many invariant hypersurfaces ⋮ A singular Darboux type theorem and non-integrable projective distributions of degree one ⋮ Classification of holomorphic Pfaff systems on Hopf manifolds ⋮ On holomorphic distributions on Fano threefolds ⋮ Rational Morita equivalence for holomorphic Poisson modules ⋮ Remarks on vector fields with simply connected trajectories and their associated derivations

Cites Work

• Algebraic integrability of polynomial differential \(r\)-forms
• Holomorphe und meromorphe Abbildungen komplexer Räume
• Completely reducible hypersurfaces in a pencil
• Hypersurfaces solutions d'une équation de Pfaff analytique
• On a theorem of J. -P. Jouanolou concerning closed leaves of holomorphic foliations
• Bounding the degree of solutions to Pfaff equations
• Invariant hypersurfaces in holomorphic dynamics
• An improvement to Lagutinskii-Pereira integrability theorem
• Vector fields, invariant varieties and linear systems.
• Unnamed Item

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