A structural theorem for codimension one foliations on $\p^n$, $n\ge3$, with an application to degree three foliations
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Publication:4921058
DOI10.2422/2036-2145.201010_009zbMath1267.32030OpenAlexW2509709817MaRDI QIDQ4921058
Alcides Lins Neto, Dominique Cerveau
Publication date: 22 May 2013
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2422/2036-2145.201010_009
Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)
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Degrees of spaces of holomorphic foliations of codimension one in \(\mathbb{P}^n\) ⋮ Chow's theorem for real analytic Levi-flat hypersurfaces ⋮ Logarithmic forms and singular projective foliations ⋮ Classification of the invariants of foliations by curves of low degree on the three-dimensional projective space ⋮ Codimension one holomorphic foliations on \({\mathbb P^n_{\mathbb C}}\): problems in complex geometry ⋮ On non-Kupka points of codimension one foliations on ℙ3 ⋮ Codimension one foliations of degree three on projective spaces ⋮ Local transversely product singularities ⋮ Deformation of rational curves along foliations
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