Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
From MaRDI portal
Publication:810698
DOI10.5802/aif.1278zbMath0734.34007OpenAlexW2626734060MaRDI QIDQ810698
Alcides Lins Neto, Dominique Cerveau
Publication date: 1991
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1991__41_4_883_0
Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Ordinary differential equations in the complex domain (34M99)
Related Items
Foliations with isolated singularities on Hirzebruch surfaces ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:5285710 D�ploiements non dicritiques des formes diff�rentielles holomorphesA dx+B dy] ⋮ Bounding the degree of solutions of differential equations ⋮ Plane webs and Darboux polynomials ⋮ Degree of the first integral of a pencil in \(\mathbb{P}^2\) defined by Lins Neto ⋮ Rational constants of monomial derivations ⋮ On the classification of elliptic foliations induced by real quadratic fields with center ⋮ The Poincaré problem for hypersurfaces invariant by one-dimensional foliations ⋮ Poincaré problem for weighted projective foliations ⋮ Stability of branched pull-back projective foliations ⋮ Foliations on \(\mathbb{P}^2\) with only one singular point ⋮ The Poincaré problem for foliations on compact toric orbifolds ⋮ Meromorphic singular foliations on complex projective surfaces ⋮ Bounds for sectional genera of varieties invariant under Pfaff fields ⋮ Darboux integrating factors: inverse problems ⋮ Algebraic integrability of planar polynomial vector fields by extension to Hirzebruch surfaces ⋮ The Poincaré problem for reducible curves ⋮ Foliations on \(\mathbb {CP}^2\) of degree \(d\) with a singular point with Milnor number \(d^2+d+1\) ⋮ Invariants of polynomial vector fields ⋮ Invariant algebraic surfaces of polynomial vector fields in dimension three ⋮ GSV-index for holomorphic Pfaff systems ⋮ Characteristic numbers and invariant subvarieties for projective webs ⋮ The module of logarithmic derivations of a generic determinantal ideal ⋮ On the slope of non-algebraic holomorphic foliations ⋮ Proximity inequalities and bounds for the degree of invariant curves by foliations of ℙ_{ℂ}² ⋮ The 16th Hilbert problem on algebraic limit cycles ⋮ On some foliations arising in \(\mathcal D\)-module theory ⋮ Transversely affine and transversely projective holomorphic foliations ⋮ Local polar invariants and the Poincaré problem in the dicritical case ⋮ The Poincaré problem, algebraic integrability and dicritical divisors ⋮ Simple Darboux points of polynomial planar vector fields. ⋮ On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory ⋮ Algebraic solutions of holomorphic foliations: an algorithmic approach ⋮ A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs ⋮ A constructive proof of the density of algebraic Pfaff equations without algebraic solutions ⋮ The local Poincaré problem for irreducible branches ⋮ Algebraic solutions of plane vector fields ⋮ Integrability of planar polynomial differential systems through linear differential equations ⋮ Special issue in celebration of Jack K. Hale's 70th birthday. Part 3 of 4 parts ⋮ Derivations of polynomial algebras without Darboux polynomials ⋮ On some open problems in planar differential systems and Hilbert's 16th problem ⋮ A new two-parameter family of isomonodromic deformations over the five punctured sphere ⋮ Around Jouanolou non-integrability theorem ⋮ Invariant algebraic curves and rational first integrals of holomorphic foliations in \(\mathbb C P(2)\) ⋮ Some problems in the geometry of foliations for the 60th anniversary of IMPA ⋮ Degree of an algebraic solution of a \(d\)-web in the complex projective plane ⋮ A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals ⋮ On the geometry of Poincaré's problem for one-dimensional projective foliations ⋮ Bounding Solutions of Pfaff Equations ⋮ Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields ⋮ Isolated invariant curves of a foliation ⋮ Monomial Derivations ⋮ On the computation of Darboux first integrals of a class of planar polynomial vector fields ⋮ Local polar invariants for plane singular foliations ⋮ Liouvillian integration and Bernoulli foliations ⋮ A note on Poincaré’s problem for quasi-homogeneous foliations ⋮ Transcendental limit cycles via the structure of arbitrary degree invariant algebraic curves of polynomial planar vector fields ⋮ Critical modules over the second Weyl algebra ⋮ On degrees of logarithmic vector fields of certain schemes ⋮ On the Poincaré problem ⋮ Logarithmic foliations on compact algebraic surfaces ⋮ An existence theorem and an approximate solution method for a Pfaff equation with continuous coefficients ⋮ Catching Tangent Curves in Fields of Lines ⋮ A class of polynomial planar vector fields with polynomial first integral ⋮ On topological rigidity of projective foliations ⋮ On Holomorphic Foliations Without Algebraic Solutions ⋮ Some examples for the Poincaré and Painlevé problems
