A Fatou type theorem for complex map germs

Câmara, Leonardo; Scárdua, Bruno

doi:10.1090/S1088-4173-2012-00242-1

A Fatou type theorem for complex map germs
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by Leonardo Câmara and Bruno Scárdua

Conform. Geom. Dyn. 16 (2012), 256-268

DOI: https://doi.org/10.1090/S1088-4173-2012-00242-1

Published electronically: August 28, 2012

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Abstract:

In this paper we prove a Fatou type theorem for complex map germs. More precisely, we give (generic) conditions assuring the existence of parabolic curves for complex map germs tangent to the identity, in terms of existence of suitable formal separatrices. Such a map cannot have finite orbits.

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