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math.NT2018
On uniqueness of -adic period morphisms, II
Wiesława Nizioł
We prove equality of the various -adic period morphisms for smooth, not necessarily proper, schemes. We start with showing that the -theoretical uniqueness criterium we had f…
math.NT2018
Cohomology of -adic Stein spaces
Pierre Colmez, Gabriel Dospinescu, Wieslawa Niziol
We compute the -adic étale and the pro-étale cohomologies of the Drinfeld half-space of any dimension. The main input is a new comparison theorem for the -adic pro-étale coho…