Invariant sets near singularities of holomorphic foliations

DOI10.1017/etds.2015.23zbMath1373.37115arXiv1312.0927OpenAlexW1778893765MaRDI QIDQ2976301

Rudy Rosas, César Camacho

Publication date: 28 April 2017

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0927

zbMATH Keywords

separatrixsingular complex surface, singular holomorphic foliation

Mathematics Subject Classification ID

Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (6)

Nodal separators of holomorphic foliations ⋮ Compact invariant sets for global holomorphic foliations ⋮ Characteristic curves of holomorphic foliations ⋮ Dynamics and integrability for germs of complex vector fields with singularity in dimension two ⋮ Invariant hypersurfaces and nodal components for codimension one singular foliations ⋮ Meromorphic vector fields with single-valued solutions on complex surfaces

Cites Work

• Quadratic forms and holomorphic foliations on singular surfaces
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Invariant varieties through singularities of holomorphic vector fields
• ON CAMACHO–SAD'S THEOREM ABOUT THE EXISTENCE OF A SEPARATRIX
• Normal Two-Dimensional Singularities. (AM-71)

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