Leafwise Dolbeault cohomology of certain complex foliations

DOI10.5802/aif.2538zbMath1225.32041OpenAlexW2312451033MaRDI QIDQ978575

Jihène Slimène, Aziz El Kacimi Alaoui

Publication date: 25 June 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116287

zbMATH Keywords

complex foliationleafwise Dolbeault cohomology

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items

On almost complex Lie algebroids ⋮ On leafwise meromorphic functions with prescribed poles ⋮ Kuranishi-type moduli spaces for proper CR-submersions fibering over the circle ⋮ \(\overline{\partial}\)-tangential invariants of certain vector bundles over complex foliations ⋮ Transversally pseudoconvex semiholomorphic foliations ⋮ The \({\overline{\partial}}\) operator along the leaves and Guichard's theorem for a complex simple foliation ⋮ $1$-complete semiholomorphic foliations

Cites Work

• Unnamed Item
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• The \({\overline{\partial}}\) operator along the leaves and Guichard's theorem for a complex simple foliation
• On the parameter dependence of solutions to the \(\bar\partial\)-equation
• A smooth foliation of the 5-sphere by complex surfaces
• Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
• Cohomological equations of Riemannian flows and the Anosov diffeomorphism
• Sur quelques points d'algèbre homologique
• DEUX EXEMPLES DE CALCUL EXPLICITE DE COHOMOLOGIE DE DOLBEAULT FEUILLETÉE
• A class ofC^∞-stable foliations
• Leafwise holomorphic functions
• Foliations with complex leaves

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