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Summable formal invariant curves of diffeomorphisms

Published online by Cambridge University Press:  14 March 2011

L. LÓPEZ-HERNANZ
L. LÓPEZ-HERNANZ*
Affiliation:
Departamento de Álgebra, Geometría y Topología, Universidad de Valladolid, Spain (email: [email protected])
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Abstract

Let F be a tangent to the identity diffeomorphism in (ℂ2,0) and X its infinitesimal generator. We prove that Camacho and Sad’s formal invariant curves of X give summable formal power series, whose sums correspond to the parabolic curves found by Hakim for F and F−1.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 1 , February 2012 , pp. 211 - 221
Copyright
Copyright © Cambridge University Press 2011

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