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Summable formal invariant curves of diffeomorphisms
Published online by Cambridge University Press: 14 March 2011
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.
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- Copyright © Cambridge University Press 2011
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