A Fatou type theorem for complex map germs-Reference-Cited by-同舟云学术

A Fatou type theorem for complex map germs

Published:2012-08-28 Issue:13 Volume:16 Page:256-268
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Câmara Leonardo,Scárdua Bruno

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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/2012-16-13/S1088-4173-2012-00242-1/S1088-4173-2012-00242-1.pdf

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