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math.NT2021
Une factorisation de la cohomologie complétée et du système de Beilinson-Kato
Pierre Colmez, Shanwen Wang
We show that the modular symbol , considered as an element of the dual of Emerton's completed cohomology, interpolates Kato's Euler system at classical points, and we d…
math.NT2021
Cohomologie des courbes analytiques -adiques
Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł
Cohomology of affinoids does not behave well; often, this can be remedied by making affinoids overconvergent. In this paper, we focus on dimension 1 and compute, using analogs of p…