Topological classification of holomorphic, semi-hyperbolic germs, in ``Quasi-Absence'' of resonances

We give the classification, under topological conjugacy, of invertible holomorphic germs f:[inline-graphic not available: see fulltext], with λ1, . . . ,λn eigenvalues of d f0, and |λi|≠1 for i=2, . . . ,n while λ1 is a root of the unity, in the suitable hypothesis of ``quasi-absence'' of resonances (i.e., assuming that [inline-graphic not available: see fulltext] for ri≥0 and i=2, . . . ,n, with [inline-graphic not available: see fulltext]).