Singularities of complex vector fields having many closed orbits

DOI10.5427/jsing.2014.8fzbMath1352.37148OpenAlexW2322104311MaRDI QIDQ5174917

Bruno C. Azevedo Scárdua

Publication date: 19 February 2015

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0d2f27fe2f7bee1dfbe52067b51d787e0f4ce842

zbMATH Keywords

singular holomorphic foliationclosed orbitholonomy group

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

• Construction of singular holomorphic vector fields and foliations in dimension two
• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Invariant varieties through singularities of holomorphic vector fields
• Foliations with algebraic limit sets
• The topology of holomorphic flows with singularity
• Fixed points and circle maps
• Complex vector fields having orbits with bounded geometry
• Integration of complex differential equations
• Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
• Holonomie et intégrales premières
• Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold
• Reduction of Singularities of the Differential Equation Ady = Bdx
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