Geometric bounds on the linearization domain and analytic dependence on parameters for families of analytic vector fields in a neighborhood of a singular point

DOI10.1016/j.jmaa.2010.07.041zbMath1201.32017OpenAlexW2047248589MaRDI QIDQ711023

Massimo Villarini

Publication date: 25 October 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.041

zbMATH Keywords

linearizationnormal formsholomorphic vector fields

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Local complex singularities (32S05)

Cites Work

• Normalization of Poincaré singularities via variation of constants
• Remarks on singularities of finite codimension in complex dynamical systems
• The Structure of Local Homeomorphisms, III
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