On closed leaves of holomorphic foliations by curves

1989 ◽  
pp. 61-98
Author(s):  
Xavier Gomez-Mont
Keyword(s):  
Holomorphic Foliations

scholarly journals Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations

2017 ◽  
Vol 196 (1) ◽  
pp. 35-44 ◽  
Author(s):  
Andrés Beltrán ◽  
Arturo Fernández-Pérez ◽  
Hernán Neciosup
Keyword(s):  
Holomorphic Foliations ◽  
Dicritical Singularities

RESIDUES OF HOLOMORPHIC FOLIATIONS RELATIVE TO A GENERAL SUBMANIFOLD

2005 ◽  
Vol 37 (03) ◽  
pp. 435-445 ◽  
Author(s):  
CÉSAR CAMACHO ◽  
DANIEL LEHMANN
Keyword(s):  
Holomorphic Foliations

scholarly journals On Characteristic Forms of Holomorphic Foliations

1999 ◽  
Vol 22 (1) ◽  
pp. 43-64
Author(s):  
Yoshikatsu KAMOZAWA ◽  
Masahide KATO
Keyword(s):  
Holomorphic Foliations

scholarly journals Flags of holomorphic foliations

2011 ◽  
Vol 83 (3) ◽  
pp. 775-786 ◽  
Author(s):  
Rogério S. Mol
Keyword(s):  
Finite Number ◽  
Complex Manifold ◽  
Necessary Conditions ◽  
Holomorphic Foliations ◽  
Lower Dimension ◽  
Higher Dimension ◽  
Basic Properties ◽  
Codimension One ◽  
Tangent Sheaf ◽  
Polar Classes

A flag of holomorphic foliations on a complex manifold M is an object consisting of a finite number of singular holomorphic foliations on M of growing dimensions such that the tangent sheaf of a fixed foliation is a subsheaf of the tangent sheaf of any of the foliations of higher dimension. We study some basic properties oft hese objects and, in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" />, n > 3, we establish some necessary conditions for a foliation, we find bounds of lower dimension to leave invariant foliations of codimension one. Finally, still in <img src="/img/revistas/aabc/2011nahead/aop2411pcn.jpg" align="absmiddle" /> involving the degrees of polar classes of foliations in a flag.

scholarly journals Invariant curves for holomorphic foliations on singular surfaces

2020 ◽  
Vol 58 (1) ◽  
pp. 179-195
Author(s):  
Edileno de Almeida Santos
Keyword(s):  
Holomorphic Foliations ◽  
Invariant Curves ◽  
Singular Surfaces

scholarly journals Holomorphic foliations and deformations of the Hopf foliation

1984 ◽  
Vol 112 (1) ◽  
pp. 69-81
Author(s):  
Thomas Duchamp ◽  
Morris Kalka
Keyword(s):  
Holomorphic Foliations

Residues for Holomorphic Foliations of Singular Pairs

2005 ◽  
Vol 5 (1) ◽  
Author(s):  
Filippo Bracci ◽  
Tatsuo Suwa
Keyword(s):  
Holomorphic Foliations
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