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Jacobian and polar curves of singular foliations (Q6606357)

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scientific article; zbMATH DE number 7914231

Language	Label	Description	Also known as
English	Jacobian and polar curves of singular foliations	scientific article; zbMATH DE number 7914231

Statements

scholarly article

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Jacobian and polar curves of singular foliations (English)

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publication date

16 September 2024

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zbMATH Keywords

singular foliations

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polar curves

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Jacobian curves

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MaRDI profile type

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On the analytic invariants and semiroots of plane branches

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Determining plane curve singularities from its polars

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Some remarks on indices of holomorphic vector fields

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Separatrices for real analytic vector fields in the plane

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Topological invariants and equidesingularization for holomorphic vector fields

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Invariant varieties through singularities of holomorphic vector fields

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Dicritical logarithmic foliations

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Absolutely Dicritical Foliations

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Logarithmic models for non-dicritical foliations

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Local polar invariants for plane singular foliations

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Analytic semiroots for plane branches and singular foliations

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Infinitely near imposed singularities and singularities of polar curves

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Local geometry of planar analytic morphisms

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On the analytic classification of irreducible plane curve singularities

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Localization of Baum-Bott residues, generalized curves and \(K\)-theory. I. Foliations in \(\mathbb{C}^2\)

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Courbes polaires d'un feuilletage singulier

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Determination of the polar equisingularity type

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Infinitesimal adjunction and polar curves

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Infinitesimal initial part of a singular foliation

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Isolated invariant curves of a foliation

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Real logarithmic models for real analytic foliations in~the~plane

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Sur les modules des singularités des courbes planes

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Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche. Pubblicate per cura del dott. \textit{O. Chisini}. Bd. I.

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On the polar curves of a reduced plane curve

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On the approximate Jacobian Newton diagrams of an irreducible plane curve

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The Combinatorics of Plane Curve Singularities

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Local polar invariants and the Poincaré problem in the dicritical case

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Zariski Invariant For Non-Isolated Separatrices Through Jacobian Curves of Pseudo-Cuspidal Dicritical Foliations

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On the approximate roots of polynomials

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The analytic classification of plane branches

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Plane branches with Newton non-degenerate polars

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On the factorization of the polar of a plane branch

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On analytic function germs of two complex variables

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On Puiseux roots of Jacobians

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Newton-Puiseux roots of Jacobian determinants

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Equisingularity in germ bundles of plane curves and \(C^0\)-sufficiency

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Pseudo-groupe d’une singularité de feuilletage holomorphe en dimension deux

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Holonomie et intégrales premières

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Discriminant of a germ \((g,f): (\mathbb{C}^2,0)\to (\mathbb{C}^2,0)\) and contact quotients in the resolution of \(f\cdot g\)

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Discriminant of a Germ Φ: (C<sup>2</sup> , 0)→(C<sup>2</sup> , 0) and Seifert Fibred Manifolds

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Invariants polaires des courbes planes

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Classification topologique des germes de formes logarithmiques génériques. (Topological classification of germs of generic logarithmic forms)

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Cycles 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 \(f^{\lambda_ 1}_ 1 \dots f^{\lambda_ p}_ p\) )

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Th�or�me de Merle: cas des 1-formes de type courbes g�n�ralis�es

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Reduction of Singularities of the Differential Equation Ady = Bdx

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Indices of Holomorphic Vector Fields Relative to Invariant Curves on Surfaces

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Variétés polaires. I: Invariants polaires des singularites d'hypersurfaces

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Studies in Equisingularity I Equivalent Singularities of Plane Algebroid Curves

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Studies in Equisingularity III: Saturation of Local Rings and Equisingularity

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Identifiers

10.1007/978-3-031-52481-3_5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6606357

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