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

Abstract

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 $d{f}_0$, and $|{\lambda }_i|\ne 1$ for $i=2,...,n$ while ${\lambda }_1$ is a root of the unity, is given, in the suitable hypothesis of ``quasi-absence'' of resonances.

16 pages, 1 figure

References in corpus (1)

• Discrete local holomorphic dynamics