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

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Abstract

We give the classification, under topological conjugacy, of invertible holomorphic germs f:, with λ 1, . . . ,λ n eigenvalues of d f 0, and |λ i |≠1 for i=2, . . . ,n while λ 1 is a root of the unity, in the suitable hypothesis of ``quasi-absence'' of resonances (i.e., assuming that for r i ≥0 and i=2, . . . ,n, with ).

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  1. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126, Pisa, Italy

    Pietro Di Giuseppe

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  1. Pietro Di Giuseppe
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Correspondence to Pietro Di Giuseppe.

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Giuseppe, P. Topological classification of holomorphic, semi-hyperbolic germs, in ``Quasi-Absence'' of resonances. Math. Ann. 334, 609–625 (2006). https://doi.org/10.1007/s00208-005-0708-5

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  • DOI: https://doi.org/10.1007/s00208-005-0708-5

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