23 citations · 90 across the 33 of their papers we have counts for
40 papers
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…