Special foliations on \(\mathbb{CP}^2\) with a unique singular point

DOI10.1007/s40687-022-00311-9zbMath1487.32170OpenAlexW4210889903MaRDI QIDQ2125265

Claudia R. Alcántara

Publication date: 14 April 2022

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-022-00311-9

zbMATH Keywords

foliationsingular pointlogarithmic foliationalgebraic leaf

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (2)

A family of dicritical foliations with one singularity ⋮ Singularities of holomorphic codimension one foliations of the complex projective plane

Cites Work

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• Classic geometry of certain quadratic foliations
• Foliations on \(\mathbb{CP}^2\) with a unique singular point without invariant algebraic curves
• Topological invariants and equidesingularization for holomorphic vector fields
• Algebraic solutions of one-dimensional foliations
• Equations de Pfaff algébriques
• Foliations on \(\mathbb {CP}^2\) of degree \(d\) with a singular point with Milnor number \(d^2+d+1\)
• Minimal sets of foliations on complex projective spaces
• The analytic and formal normal form for the nilpotent singularity. The case of generalized saddle-node
• A bound for the Milnor number of plane curve singularities
• Formes logarithmiques et feuilletages non dicritiques
• New examples of holomorphic foliations without algebraic leaves
• [https://portal.mardi4nfdi.de/wiki/Publication:4887461 Classification analytique d'�quations diff�rentielles ydy +...=0 et espace de modules]
• Residue-type indices and holomorphic foliations

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