5 papers
Une conjecture pour la cohomologie à support compact
Pierre Colmez, Sally Gilles, Wiesława Nizioł
Let be the ring of analytic functions on the Fargues-Fontaine curve . We show that adding -adic analogs of and kills its Galois coho…
Théorie locale du corps de classes et -modules Lubin-Tate
Pierre Colmez
We show how to deduce the determination of the maximal abelian extension of , with , from the theory of Lubin-Tate -modules.
Une caractérisation de et
Pierre Colmez
We show that is the universal thickening of . More generally, we show that, if is a reduced affinoid algebra, $\mathcal{O}\mathbb{B…
La formule limite de Kronecker
Pierre Colmez
We make some remarks about the relation between the Kronecker limit formula for totally real fields, (normalized) periods of CM abelian varieties, and units in abelian extensions o…
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…