Singularities of holomorphic vector fields in dimensions \(\geq 3\): results and problems
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Publication:6604705
DOI10.1007/978-3-031-54172-8_2MaRDI QIDQ6604705
Publication date: 13 September 2024
Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)
Cites Work
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- Germ of presentable foliations of the complex plane
- Separatrices for \(\mathbb{C}^2\) actions on 3-manifolds
- Almost étale resolution of foliations
- Uniformizing complex ODEs and applications
- Recurrent orbits of subgroups of local complex analytic diffeomorphisms
- Discrete orbits, recurrence and solvable subgroups of Diff \((\mathbb {C}^2, 0)\)
- Reduction of singularities of three-dimensional line foliations
- Holomorphic foliations admitting a transverse invariant measure
- Resolution of singularities of real-analytic vector fields in dimension three
- Semicompleteness of homogeneous quadratic vector fields
- A note on integrability and finite orbits for subgroups of \(\mathrm{Diff}(\mathbb C^n,0)\)
- 2-dimensional Lie algebras and separatrices for vector fields on \((\mathbb{C}^3, 0)\)
- Quadratic forms and holomorphic foliations on singular surfaces
- Equations de Pfaff algébriques
- Invariant varieties through singularities of holomorphic vector fields
- Desingularization of non-dicritical holomorphic foliations and existence of separatrices
- Hypersurfaces solutions d'une équation de Pfaff analytique
- Frobenius avec singularites. I: Codimension un
- Desingularization strategies for three-dimensional vector fields
- Separatrices for non solvable dynamics on \(\mathbb{C},0\)
- Minimal, rigid foliations by curves on \(\mathbb C\mathbb P^n\)
- Singularités des flots holomorphes. II. (Singularities of holomorphic flows. II.)
- Germs of holomorphic vector fields in \(\mathbb{C}^ 3\) without a separatrix
- Singularités des flots holomorphes. (Singularities of holomorphic flows.)
- An axiomatic version of Zariski's patching theorem
- Meromorphic vector fields with single-valued solutions on complex surfaces
- On the equations of Halphen and \(\mathrm{SL}_{2}(\mathbb C)\)-actions
- Equivalence and semi-completude of foliations
- Reduction of the singularities of codimension one singular foliations in dimension three
- Vector fields tangent to foliations and blow-ups
- Topology of singular holomorphic foliations along a compact divisor
- Semicomplete meromorphic vector fields on complex surfaces
- On transverse rigidity for singular foliations in (ℂ2,0)
- Holonomie et intégrales premières
- Monodromy and topological classification of germs of holomorphic foliations
- On the resolution of singularities of one-dimensional foliations on three-manifolds
- Reduction of Singularities of the Differential Equation Ady = Bdx
- Topological Moduli Space for Germs of Holomorphic Foliations
- Métriques riemanniennes holomorphes en petite dimension. (Holomorphic Riemannian metrics in small dimension)
- Geodesic completeness of pseudo and holomorphic-Riemannian metrics on Lie groups
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