%0 Journal Article
%T On the persistence of invariant curves for Fibered Holomorphic Transformations
%A Mario Ponce
%J Mathematics
%D 2008
%I arXiv
%R 10.1007/s00220-009-0805-5
%X We consider the problem of the persistence of invariant curves for analytical fibered holomorphic transformations. We define a fibered rotation number associated to an invariant curve. We show that an invariant curve with a prescribed fibered rotation number persists under small perturbations on the dynamics provided that the pair of rotation numbers verifies a Brjuno type arithmetical condition.
%U http://arxiv.org/abs/0801.2549v1