Classification of holomorphic Pfaff systems on Hopf manifolds

DOI10.1007/s40879-020-00445-6zbMath1471.32053arXiv2001.11047OpenAlexW3003973077MaRDI QIDQ2040980

Antonio M. Ferreira, Maurício Barros Corrêa Jr., Misha Verbitsky

Publication date: 15 July 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11047

zbMATH Keywords

Pfaff systemsHopf manifoldsholomorphic distributions and foliations

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

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• Local Contractions and a Theorem of Poincare
• On the singular scheme of split foliations
• Hypersurfaces invariant by Pfaff systems
• Versal deformation of Hopf surfaces.
• On holomorphic and transversely holomorphic foliations on Hopf surfaces
• Bounding Solutions of Pfaff Equations
• On the Structure of Compact Complex Analytic Surfaces, II
• Singular foliations and differential \(p\)-forms

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