The Poincaré problem for hypersurfaces invariant by one-dimensional foliations

DOI10.1007/s002220050150zbMath0923.32025OpenAlexW2072175584MaRDI QIDQ1358254

Márcio G. Soares

Publication date: 3 July 1997

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050150

zbMATH Keywords

Poincaré problemholomorphic foliationsinvariant hypersurfaces

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Characteristic classes and numbers in differential topology (57R20) Singularities of holomorphic vector fields and foliations (32S65)

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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
• Algebraic solutions of one-dimensional foliations
• Equations de Pfaff algébriques
• The Poincaré problem in the nondicritical case
• Flat manifolds
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili