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

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

2005-01-23

arxiv.org/abs/math/0501397v1

Mathematics

Dynamical Systems

16 pages, 1 figure

Scientific paper

The classification, by topological conjugacy, of invertible holomorphic germs
$f:(\mathbb{C}^n,0)\to (\mathbb{C}^n,0)$, with $\lambda_1,...,\lambda_n$
eigenvalues of $df_0$, and $|\lambda_i|\neq 1$ for $i=2,...,n$ while
$\lambda_1$ is a root of the unity, is given, in the suitable hypothesis of
``quasi-absence'' of resonances.

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