On the classification of foliations of degree three with one singularity

DOI10.1016/j.jsc.2022.01.001zbMath1495.32057OpenAlexW4205457124MaRDI QIDQ2117426

S. C. Coutinho

Publication date: 21 March 2022

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2022.01.001

zbMATH Keywords

singularityholomorphic foliationalgebraic solution

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (2)

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

Uses Software

• AXIOM
• SINGULAR

Cites Work

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• Foliations on \(\mathbb{CP}^2\) of degree 2 with degenerate singularities
• Classic geometry of certain quadratic foliations
• Foliations on \(\mathbb{CP}^2\) with a unique singular point without invariant algebraic curves
• Limit cycles of differential equations
• Equations de Pfaff algébriques
• The Poincaré problem in the nondicritical case
• Classification of Foliations on CP^2 of degree 3 with Degenerate Singularities
• On a Result of Darboux
• Foliations on the projective plane with finite group of symmetries
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Über die Lösbarkeit gewisser algebraischer Gleichungssysteme

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