Commuting vector fields

DOI10.1016/j.jde.2023.01.011OpenAlexW2948949577MaRDI QIDQ2694244

Alcides Lins Neto, Dominique Cerveau

Publication date: 28 March 2023

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

Full work available at URL: https://arxiv.org/abs/1906.02109

zbMATH Keywords

foliationhomogeneous component

Mathematics Subject Classification ID

Dynamical aspects of holomorphic foliations and vector fields (37F75) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Cites Work

• 2-dimensional Lie algebras and separatrices for vector fields on \((\mathbb{C}^3, 0)\)
• Topological invariants and equidesingularization for holomorphic vector fields
• Invariant varieties through singularities of holomorphic vector fields
• Holonomie et intégrales premières
• The Formal Linearization of a Semisimple Lie Algebra of Vector Fields about a Singular Point
• Remarks on a Paper of Hermann
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Introduction to Lie Algebras and Representation Theory
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