English

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

Dynamical Systems 2007-05-23 v1

Abstract

The classification, by topological conjugacy, of invertible holomorphic germs f:(Cn,0)(Cn,0)f:(\mathbb{C}^n,0)\to (\mathbb{C}^n,0), with λ1,...,λn\lambda_1,...,\lambda_n eigenvalues of df0df_0, and λi1|\lambda_i|\neq 1 for i=2,...,ni=2,...,n while λ1\lambda_1 is a root of the unity, is given, in the suitable hypothesis of ``quasi-absence'' of resonances.

Keywords

Cite

@article{arxiv.math/0501397,
  title  = {Topological Classification of Holomorphic, Semi-Hyperbolic Germs, in "Quasi-Absence" of Resonances},
  author = {Pietro Di Giuseppe},
  journal= {arXiv preprint arXiv:math/0501397},
  year   = {2007}
}

Comments

16 pages, 1 figure