Transversely holomorphic structures with many invariant hypersurfaces

DOI10.1016/j.indag.2018.01.006zbMath1390.32016OpenAlexW2792891000MaRDI QIDQ1749016

Leonardo Meireles Câmara

Publication date: 15 May 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2018.01.006

zbMATH Keywords

first integralsinvariant hypersurfacestransversely holomorphic foliations

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) 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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• Algebraic integrability of polynomial differential \(r\)-forms
• Equations de Pfaff algébriques
• Transversal holomorphic structures
• Hypersurfaces solutions d'une équation de Pfaff analytique
• On a theorem of J. -P. Jouanolou concerning closed leaves of holomorphic foliations
• An improvement to Lagutinskii-Pereira integrability theorem
• Hypersurfaces invariant by Pfaff systems
• Sur les hypersurfaces solutions des équations de Pfaff
• Singular foliations and differential \(p\)-forms

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