Germs of complex two dimensional foliations

DOI10.1007/s00574-015-0107-9zbMath1360.37123OpenAlexW2370755899MaRDI QIDQ905872

Alcides Lins Neto

Publication date: 28 January 2016

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-015-0107-9

zbMATH Keywords

germholomorphic foliation

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Deformations of complex singularities; vanishing cycles (32S30) Dynamical aspects of holomorphic foliations and vector fields (37F75) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (4)

Pull-back components of the space of foliations of codimension ≥2 ⋮ Foliations on projective spaces associated to the affine Lie algebra ⋮ Branched pull-back components of the space of codimension two foliations on ℙ4 ⋮ Logarithmic foliations

Cites Work

• Algebraic solutions of one-dimensional foliations
• The topology on integrable differential forms near a singularity
• Irreducible components of the space of holomorphic foliations of degree two in \(\mathbb{C} P(n)\), \(n\geq 3\)
• The index of a holomorphic flow with an isolated singularity
• Sur la division de formes et de courants par une forme linéaire
• Higher codimensional foliations with Kupka singularities
• Stability of holomorphic foliations with split tangent sheaf
• THE SINGULARITIES OF INTEGRABLE STRUCTURALLY STABLE PFAFFIAN FORMS
• Singular foliations and differential \(p\)-forms
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