ON CAMACHO–SAD'S THEOREM ABOUT THE EXISTENCE OF A SEPARATRIX

DOI10.1142/S0129167X10006513zbMath1207.32029OpenAlexW2149657610MaRDI QIDQ3067790

L. Ortiz-Bobadilla, Sergey Voronin, Ernesto Rosales-González

Publication date: 13 January 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x10006513

zbMATH Keywords

separatrixmarked treenondicritic foliationsnondicritic vector fieldsfair treewell-balanced tree

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Deformations of complex singularities; vanishing cycles (32S30) Local complex singularities (32S05) Dynamical aspects of holomorphic foliations and vector fields (37F75) Other operations on complex singularities (32S70)

Related Items (8)

Invariant sets near singularities of holomorphic foliations ⋮ Separatrices for real analytic vector fields in the plane ⋮ Logarithmic models for non-dicritical foliations ⋮ Invariant surfaces for toric type foliations in dimension three ⋮ Invariant hypersurfaces and nodal components for codimension one singular foliations ⋮ Algebraic separatrices for non-dicritical foliations on projective spaces of dimension at least four ⋮ Zariski Invariant For Non-Isolated Separatrices Through Jacobian Curves of Pseudo-Cuspidal Dicritical Foliations ⋮ Topology of singular holomorphic foliations along a compact divisor

Cites Work

• Unnamed Item
• Invariant varieties through singularities of holomorphic vector fields
• Construction of invariant curves for singular holomorphic vector fields

This page was built for publication: ON CAMACHO–SAD'S THEOREM ABOUT THE EXISTENCE OF A SEPARATRIX