Local polar invariants and the Poincaré problem in the dicritical case
From MaRDI portal
Publication:1712756
DOI10.2969/jmsj/76227622zbMath1414.32030arXiv1608.07217OpenAlexW2895451928MaRDI QIDQ1712756
Yohann Genzmer, Rogério S. Mol
Publication date: 31 January 2019
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.07217
Related Items (7)
The Poincaré problem for reducible curves ⋮ On Briançon-Skoda theorem for foliations ⋮ Separatrices for real analytic vector fields in the plane ⋮ The local Poincaré problem for irreducible branches ⋮ Second type foliations of codimension one ⋮ Differentiable equisingularity of holomorphic foliations ⋮ Differentiable invariants of holomorphic foliations
Cites Work
- Unnamed Item
- Unnamed Item
- Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
- Topological invariants and equidesingularization for holomorphic vector fields
- Invariant varieties through singularities of holomorphic vector fields
- On the classification of nilpotent singularities
- Some remarks on indices of holomorphic vector fields
- Bounds on leaves of one-dimensional foliations
- Meromorphic first integrals: Some extension results
- The Poincaré problem in the nondicritical case
- The index of a holomorphic flow with an isolated singularity
- The Poincaré problem, algebraic integrability and dicritical divisors
- Nilpotent singularities and first integrals
- Degree of the first integral of a pencil in \(\mathbb{P}^2\) defined by Lins Neto
- Some examples for the Poincaré and Painlevé problems
- Isolated invariant curves of a foliation
- Groupes d'automorphismes de $({\bbfC},0)$ et équations différentielles $ydy+\cdots =0$
- Holonomie et intégrales premières
- Proximity inequalities and bounds for the degree of invariant curves by foliations of ℙ_{ℂ}²
- Feuilletages holomorphes sur les surfaces complexes compactes
- [https://portal.mardi4nfdi.de/wiki/Publication:4887461 Classification analytique d'�quations diff�rentielles ydy +...=0 et espace de modules]
- Rigidity for dicritical germ of foliation in ℂ2
- On the Poincaré inequality for one-dimensional foliations
- Reduction of Singularities of the Differential Equation Ady = Bdx
- Localization of Baum-Bott residues, generalized curves and \(K\)-theory. I. Foliations in \(\mathbb{C}^2\)
This page was built for publication: Local polar invariants and the Poincaré problem in the dicritical case
