3 papers
math.NT2024
La méthode de Shintani et ses variantes
Pierre Colmez
We give several versions of Shintani's method for the decomposition into simplicial cones of the fundamental domain of a torus modulo a lattice, and we investigate some application…
math.NT2023
Arithmetic duality for -adic pro-étale cohomology of analytic curves
Pierre Colmez, Sally Gilles, Wiesława Nizioł
We prove a Poincaré duality for arithmetic -adic pro-étale cohomology of smooth dagger curves over finite extensions of . We deduce it, via the Hochschild-Serre s…
math.NT2014
Théorie de Sen et vecteurs localement analytiques
Laurent Berger, Pierre Colmez
We generalize Sen theory to extensions whose Galois group is a -adic Lie group of arbitrary dimension. To do so, we replace Sen's space of -finite vectors by Sch…