Substitution maps in the Robba ring

Laurent Berger (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

The purpose of this note is to 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.

Domaines: Théorie des nombres [math.NT]

Laurent Berger. Substitution maps in the Robba ring. Annales mathématiques du Québec, 2022, 46, pp.289--302. ⟨10.1007/s40316-022-00195-9⟩. ⟨hal-03039987⟩