On algebraic sets invariant by one-dimensional foliations on \(\mathbb{C} P(3)\)

DOI10.5802/aif.1325zbMath0770.57016OpenAlexW2319362301MaRDI QIDQ1210522

Márcio G. Soares

Publication date: 13 June 1993

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_1_143_0

zbMATH Keywords

foliations by curves on \(\mathbb{C} P(3)\)

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30) Ordinary differential equations in the complex domain (34M99)

Related Items (9)

Families of minimal involutive surfaces in projective space ⋮ Generic polynomial vector fields are not integrable. ⋮ On some foliations arising in \(\mathcal D\)-module theory ⋮ Algebraic solutions of holomorphic foliations: an algorithmic approach ⋮ Flags of holomorphic foliations ⋮ Branched pull-back components of the space of codimension two foliations on ℙ4 ⋮ On the density of algebraic foliations without algebraic invariant sets ⋮ On Homogenous Minimal Involutive Varieties ⋮ On Holomorphic Foliations Without Algebraic Solutions

Cites Work

• Singularities of holomorphic foliations
• Résidus des sous-variétés invariantes d'un feuilletage singulier. (Residues of invariant submanifolds of singular foliations)
• Equations de Pfaff algébriques
• Invariant varieties through singularities of holomorphic vector fields
• Quasihomogeneous isolated singularities of hyperplanes.
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