Equations differentielles p-adiques et (phi,N)-modules filtres
Laurent Berger
Abstract
The goal of this article is to show that the following two categories are equivalent (1) the category of filtered (phi,N,GK)-modules (2) the category of (phi,GammaK)-modules over the Robba ring such that the Lie algebra of GammaK acts locally trivially. Furthermore, we show that under this equivalence, the admissible filtered (phi,N,GK)-modules correspond to the etale (phi,GammaK)-modules, which gives a new proof of Colmez-Fontaine's theorem.
Create a lesson
Related papers
An Infinite Family of Apéry-like Recurrences for Euler's Constant
Rotem Kalisch, Tali Monderer, Elyasheev Leibtag et al.
On the saturability of p-adic Lie groups
Casey Perdue
On Divisor Function Polynomials and Dirichlet Series
Martin N. Huxley, Matthew C. Lettington, Karl Michael Schmidt
On a conjecture on Romanoff type representations
Xiao-Hui Yan
Regularization of a Divergent Arithmetic Product via the Asymptotic Monoid: The Case of (-1)ω(n)
A. Alvarez Cruz, E. A. Alvarez Gutierrez
Appell Sequences in Analytic Number Theory: Shifted Expansions and Dirichlet L-Functions
Abdelmejid Bayad