Holomorphic foliations and vector fields with degenerated singularity in \((\mathbb{C}^2,0)\)
From MaRDI portal
Publication:6606355
DOI10.1007/978-3-031-52481-3_3MaRDI QIDQ6606355
Ernesto Rosales-González, Sergey Voronin, L. Ortiz-Bobadilla
Publication date: 16 September 2024
Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of singular holomorphic vector fields and foliations in dimension two
- Extended holonomy and topological invariance of vanishing holonomy group
- Problèmes de modules pour des équations différentielles non linéaires du premier ordre
- Unfoldings of holomorphic foliations
- Modules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)
- Analytic classification of germs of conformal mappings \((C,O) \to (C,O)\) with identity linear part
- Invariant varieties through singularities of holomorphic vector fields
- On the classification of nilpotent singularities
- Analytic classification of typical degenerate elementary singular points of the germs of holomorphic vector fields on the complex plane
- Orbital formal normal forms for general Bogdanov-Takens singularity.
- The analytic and formal normal form for the nilpotent singularity
- Formal normal forms for the perturbations of a quasi-homogeneous Hamiltonian vector field
- Analytical classification of singular saddle-node vector fields
- Formal reduction of cuspidal singularities of analytic vector fields
- Singularities of vector fields
- Rigidity theorem for degenerated singular points of germs of holomorphic vector fields in the complex plane
- An analytic classification of saddle resonant singular points of holomorphic vector fields in the complex plane
- Pairs of foliations and Mattei-Moussu's theorem
- Logarithmic models for non-dicritical foliations
- Complex algebraic foliations
- A preparation theorem for codimension-one foliations
- Über Modifikationen und exzeptionelle analytische Mengen
- Formal and analytic normal forms of germs of holomorphic nondicritic foliations
- Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
- REMARKS ON THE ORBITAL ANALYTIC CLASSIFICATION OF GERMS OF VECTOR FIELDS
- Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations
- Holonomie et intégrales premières
- Zariski Invariant For Non-Isolated Separatrices Through Jacobian Curves of Pseudo-Cuspidal Dicritical Foliations
- Pseudo-groupe d’une singularité de feuilletage holomorphe en dimension deux
- Reduction of Singularities of the Differential Equation Ady = Bdx
- Sur les cycles limites.
This page was built for publication: Holomorphic foliations and vector fields with degenerated singularity in \((\mathbb{C}^2,0)\)