23 citations · 90 across the 33 of their papers we have counts for
38 papers · 1 filter
Universal norms and de Rham representations
Laurent Berger
The purpose of this note is to show that the computation of the universal norms in Iwasawa cohomology for the -adic cyclotomic extension implies the same result for any -adic…
Galois measures and the Katz map
Laurent Berger
The purpose of this paper is to explain the proofs of the results announced by Nick Katz in 1977, namely a description of ``Galois measures for Tate modules of height two formal gr…
Integer-valued polynomials and -adic Fourier theory
Laurent Berger, Johannes Sprang
The goal of this paper is to give a numerical criterion for an open question in -adic Fourier theory. Let be a finite extension of . Schneider and Teitelbaum d…
-adic Fourier theory for and the Monna map
Konstantin Ardakov, Laurent Berger
We show that the coefficients of a power series occurring in -adic Fourier theory for have valuations that are given by an intriguing formula.
Lubin-Tate generalizations of the p-adic Fourier transform
Laurent Berger
Fresnel and de Mathan proved that the p-adic Fourier transform is surjective. We reinterpret their result in terms of analytic boundaries, and extend it beyond the cyclotomic case.…
Kähler differentials and -extensions
Laurent Berger
Let be a -adic field, and let be a Galois extension that is almost totally ramified, and whose Galois group is a -adic Lie group of dimension . We prove t…