Classic geometry of certain quadratic foliations
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Publication:632514
DOI10.1007/s00574-010-0008-xzbMath1217.37048OpenAlexW2010570732MaRDI QIDQ632514
Publication date: 25 March 2011
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/s00574-010-0008-x
Complex Lie groups, group actions on complex spaces (32M05) Classical groups (algebro-geometric aspects) (14L35) Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)
Related Items (21)
Special foliations on \(\mathbb{CP}^2\) with a unique singular point ⋮ Existence of dicritical singularities of Levi-flat hypersurfaces and holomorphic foliations ⋮ Classification of absolutely dicritical foliations of CUSP type ⋮ Feuilletages et Transformations Périodiques ⋮ On plane polynomial automorphisms commuting with simple derivations ⋮ Foliations on \(\mathbb{P}^2\) with only one singular point ⋮ A family of foliations with one singularity ⋮ Foliations on \(\mathbb{CP}^2\) of degree 2 with degenerate singularities ⋮ Convex foliations of degree 4 on the complex projective plane ⋮ Foliations on \(\mathbb {CP}^2\) of degree \(d\) with a singular point with Milnor number \(d^2+d+1\) ⋮ A family of dicritical foliations with one singularity ⋮ On the GIT-stability of foliations of degree 3 with a unique singular point ⋮ Singularities of holomorphic codimension one foliations of the complex projective plane ⋮ Tissus plats et feuilletages homogènes sur le plan projectif complexe ⋮ Birational Geometry of Foliations Associated to Simple Derivations ⋮ Some problems in the geometry of foliations for the 60th anniversary of IMPA ⋮ Foliations with one singularity and finite isotropy group ⋮ Foliations on \(\mathbb{CP}^2\) with a unique singular point without invariant algebraic curves ⋮ On plane Cremona transformations of fixed degree ⋮ Classification of foliations of degree three on \(\mathbb{P}^2_{\mathbb{C}}\) with a flat Legendre transform ⋮ On the classification of foliations of degree three with one singularity
Cites Work
- Equations de Pfaff algébriques
- On a generalization of de Rham lemma
- Minimal sets of foliations on complex projective spaces
- Irreducible components of the space of holomorphic foliations of degree two in \(\mathbb{C} P(n)\), \(n\geq 3\)
- The dynamics of the Jouanolou foliation on the complex projective 2-space
- Liouvillian First Integrals of Differential Equations
- Vector fields, invariant varieties and linear systems.
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