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Classification of one-dimensional superattracting germs in positive characteristic

Published online by Cambridge University Press:  05 August 2014

MATTEO RUGGIERO
MATTEO RUGGIERO*
Affiliation:
Fondation Mathématique Jacques Hadamard (FMJH), Centre de Mathématiques Laurent Schwartz, École Polytechnique, 91128 Palaiseau Cedex, France email ruggiero@math.polytechnique.fr
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Abstract

We give a classification of superattracting germs in dimension $1$ over a complete normed algebraically closed field $\mathbb{K}$ of positive characteristic up to conjugacy. In particular, we show that formal and analytic classifications coincide for these germs. We also give a higher-dimensional version of some of these results.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 35 , Issue 7 , October 2015 , pp. 2242 - 2268
Copyright
© Cambridge University Press, 2014 

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