Formal classification of unfoldings of parabolic diffeomorphisms

DOI10.1017/S0143385707000867zbMath1153.37026arXivmath/0511298MaRDI QIDQ3528763

Javier Ribón

Publication date: 17 October 2008

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

Full work available at URL: https://arxiv.org/abs/math/0511298

zbMATH Keywords

invariantsformal classificationunfoldingscomplex analytic diffeomorphisms

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (5)

Non-embeddability of general unipotent diffeomorphisms up to formal conjugacy ⋮ Topological rigidity of generic unfoldings of tangent to the identity diffeomorphisms ⋮ Extension of formal conjugations between diffeomorphisms ⋮ On the universal unfolding of vector fields in one variable: a proof of Kostov's theorem ⋮ Generic 2-parameter perturbations of parabolic singular points of vector fields in ℂ

Cites Work

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• Discrete groups of reflections in the complex ball
• Analytic classification of germs of conformal mappings \((C,O) \to (C,O)\) with identity linear part
• Fixed points and circle maps
• On the solutions of analytic equations
• Riemannsche Hebbarkeitssätze für Cohomologieklassen

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