Topological invariants and equidesingularization for holomorphic vector fields

From MaRDI portal
Publication:1065205

DOI10.4310/jdg/1214438995zbMath0576.32020OpenAlexW1488064307WikidataQ115187588 ScholiaQ115187588MaRDI QIDQ1065205

Paulo Sad, Alcides Lins Neto, César Camacho

Publication date: 1984

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214438995




Related Items (82)

Germ of presentable foliations of the complex planeAnalytic classification of a class of cuspidal foliations in \((\mathbb{C}^3, 0)\)Special foliations on \(\mathbb{CP}^2\) with a unique singular pointIntersections of 1-forms and valuations in a local regular surfaceTopology of a holomorphic vector field around an isolated singularity ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:5285710 D�ploiements non dicritiques des formes diff�rentielles holomorphesA dx+B dy] ⋮ Final forms for a three-dimensional vector field under blowing-upNumber of moduli for a union of smooth curves in \((\mathbb{C}^2, 0)\)Classification of absolutely dicritical foliations of CUSP typeOn the classification of elliptic foliations induced by real quadratic fields with centerNodal separators of holomorphic foliationsDetermination of the polar equisingularity typeA residue formula for the index of a holomorphic flowFoliations on \(\mathbb{P}^2\) with only one singular pointOn holomorphic flows on Stein surfaces: Transversality, dicriticalness and stability ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4299146 Classification de certains feuilletages associ�s � un cusp] ⋮ Real logarithmic models for real analytic foliations in~the~planeConnectedness of the fibers of a Liouvillian functionA singular Frobenius theorem via elementary arithmeticAbout the topology of polar curves of some singular foliationsExtended holonomy and topological invariance of vanishing holonomy groupLenses on very curved zones of a singular foliation of \(\mathbb{C}^2\)On the Milnor number of non‐isolated singularities of holomorphic foliations and its topological invarianceCharacteristic directions of two-dimensional biholomorphismsThe Poincaré problem for reducible curvesThe \(C^{1}\) invariance of the algebraic multiplicity of a holomorphic vector fieldCharacteristic curves of holomorphic foliationsOn Briançon-Skoda theorem for foliationsWeierstrass 1-forms and nondicritical generalized curve foliationsThe polar curve of a foliation on \(\mathbb P^{ 2 }\)Commuting vector fieldsProximity inequalities and bounds for the degree of invariant curves by foliations of ℙ_{ℂ}²On codimension one foliations with prescribed cuspidal separatrixTransversely affine and transversely projective holomorphic foliationsLocal polar invariants and the Poincaré problem in the dicritical caseSeparatrices for real analytic vector fields in the planeModules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)Analytic deformations of pencils and integrable one-forms having a first integralGrowth at infinity and index of polynomial mapsConstructing equivalences with some extensions to the divisor and topological invariance of projective holonomyLogarithmic models for non-dicritical foliationsFinitely curved orbits of complex polynomial vector fields ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4887461 Classification analytique d'�quations diff�rentielles ydy +...=0 et espace de modules] ⋮ Extension theorems for analytic objects associated to foliationsAlgebraic nonsolvability of the problem of existence of holomorphic first integralsThe Action of a Plane Singular Holomorphic Flow on a Non-invariant BranchFeuilletages holomorphes sur les surfaces complexes compactesInvariant surfaces for toric type foliations in dimension threeA resolution theorem for absolutely isolated singularities of holomorphic vector fieldsUnnamed ItemAnalytical and formal classifications of quasi-homogeneous foliations in \((\mathbb C^2, 0)\)The local Poincaré problem for irreducible branchesInvariant hypersurfaces and nodal components for codimension one singular foliationsInvariant curves and topological invariants for real plane analytic vector fieldsSecond type foliations of codimension oneInvariants of germs of analytic differential equations in the complex planeSome problems in the geometry of foliations for the 60th anniversary of IMPATopological invariants of singularities of real vector fields.On germs of holomorphic foliations admitting sectorial first integralsFormulas for the multiplicity and the Milnor number of a foliation on \((\mathbb{C}^2,0)\)The index of a holomorphic flow with an isolated singularityAbsolutely isolated singularities of holomorphic vector fieldsLocalization of Baum-Bott residues, generalized curves and \(K\)-theory. I. Foliations in \(\mathbb{C}^2\) ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4950752 Th�or�me de Merle: cas des 1-formes de type courbes g�n�ralis�es] ⋮ ON BOUNDEDNESS OF FAMILIES OF HOLOMORPHIC FOLIATIONSComplex polynomial vector fields having an orbit with finite total curvatureOn the Saito basis and the Tjurina number for plane branchesIsolated invariant curves of a foliationLocal Łojasiewicz exponents, Milnor numbers and mixed multiplicities of idealsIntegrable deformations of foliations: a generalization of Ilyashenko's resultDifferentiable equisingularity of holomorphic foliationsInfinitesimal initial part of a singular foliationLocal polar invariants for plane singular foliationsNewton non-degenerate foliations and blowing-upsCycles évanescents d'une fonction de Liouville de type \(f^{\lambda_ 1}_ 1 \dots f^{\lambda_ p}_ p\) . (Vanishing cycles for a Liouville function of type \(f^{\lambda_ 1}_ 1 \dots f^{\lambda_ p}_ p\) )Logarithmic foliations on compact algebraic surfacesOn the resolution of singularities of one-dimensional foliations on three-manifoldsDifferentiable invariants of holomorphic foliationsHolomorphic foliations desingularized by punctual blow-upsRigidité générique des feuilletages singuliersMeromorphic first integrals: Some extension resultsZariski Invariant For Non-Isolated Separatrices Through Jacobian Curves of Pseudo-Cuspidal Dicritical Foliations




This page was built for publication: Topological invariants and equidesingularization for holomorphic vector fields