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Substitution maps in the Robba ring

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Abstract

We ask several questions about substitution maps in the Robba ring. These questions are motivated by p-adic Hodge theory and the theory of p-adic dynamical systems. We provide answers to those questions in special cases, thereby generalizing results of Kedlaya, Colmez, and others.

Résumé

Nous posons plusieurs questions concernant les applications de substitution dans l’anneau de Robba. Ces questions sont motivées par la théorie de Hodge p-adique et la théorie des systèmes dynamiques p-adiques. Nous répondons à ces questions dans des cas particuliers, ce qui généralise des résultats de Kedlaya, Colmez, et d’autres.

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Authors and Affiliations

  1. UMPA de l’ENS de Lyon, UMR 5669 du CNRS, Lyon, France

    Laurent Berger

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  1. Laurent Berger
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Correspondence to Laurent Berger.

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To Bernadette Perrin-Riou, on the occasion of her 65th birthday.

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Berger, L. Substitution maps in the Robba ring. Ann. Math. Québec 46, 289–302 (2022). https://doi.org/10.1007/s40316-022-00195-9

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  • DOI: https://doi.org/10.1007/s40316-022-00195-9

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