Structural stability of singular holomorphic foliations having a meromorphic first integral
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Publication:1814436
DOI10.1016/0040-9383(91)90017-XzbMath0735.57014MaRDI QIDQ1814436
Alcides Lins Neto, Xavier Gómez-Mont
Publication date: 25 June 1992
Published in: Topology (Search for Journal in Brave)
Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30)
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Degrees of spaces of holomorphic foliations of codimension one in \(\mathbb{P}^n\) ⋮ Chern numbers of a Kupka component ⋮ A splitting theorem for the Kupka component of a foliation of \({\mathbb{C}} {\mathbb{P}}^ n, n\geq 6\). Addendum to a paper by O. Calvo-Andrade and M. Soares ⋮ Stability of foliations induced by rational maps ⋮ Positivity, vanishing theorems and rigidity of codimension one holomorphic foliations ⋮ Stability of branched pull-back projective foliations ⋮ Degree of logarithmic foliations of type (1,1,1) ⋮ Foliations on projective spaces associated to the affine Lie algebra ⋮ Deformations of branched Lefschetz Pencils ⋮ On first order deformations of homogeneous foliations ⋮ Transversely affine and transversely projective holomorphic foliations ⋮ Foliations of codimension greater than one with a Kupka component ⋮ Unfoldings and deformations of rational and logarithmic foliations ⋮ Foliations with persistent singularities ⋮ On codimension 1 families of singular meromorphic foliations having a meromorphic first integral ⋮ Foliations with a radial Kupka set on projective spaces ⋮ Foliations with a Kupka component on algebraic manifolds ⋮ Deformation of the holonomy of a Lefschetz pencil ⋮ Linear pullback components of the space of codimension one foliations ⋮ Branched pull-back components of the space of codimension two foliations on ℙ4 ⋮ Codimension one foliations of degree three on projective spaces ⋮ A splitting theorem for the Kupka component of a foliation of \({\mathbb{C}}{\mathbb{P}}^n, n\geq 6\). Addendum to an addendum to a paper by Calvo-Andrade and Soares ⋮ On smooth deformations of foliations with singularities
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