Topological Classification of Holomorphic, Semi-Hyperbolic Germs, in "Quasi-Absence" of Resonances

2005/01/23 by Pietro Di Giuseppe, Di Giuseppe, Pietro
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #advanced mathematical theories #math.DS

paper · pdf · doi:10.48550/arxiv.math/0501397

16 pages, 1 figure

arxiv created 2005/01/23 · openalex publication_date 2005/01/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The classification, by topological conjugacy, of invertible holomorphic germs f:(ℂⁿ,0)→ (ℂⁿ,0), with λ₁,...,λ_n eigenvalues of df₀, and |λ_i|≠ 1 for i=2,...,n while λ₁ is a root of the unity, is given, in the suitable hypothesis of ``quasi-absence'' of resonances.

Citations

• Discrete local holomorphic dynamics

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