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Cohomology of $p$-adic Stein spaces

Published 20 Jan 2018 in math.NT, math.AG, and math.RT | (1801.06686v2)

Abstract: We compute the $p$-adic \'etale and the pro-\'etale cohomologies of the Drinfeld half-space of any dimension. The main input is a new comparison theorem for the $p$-adic pro-\'etale cohomology of $p$-adic Stein spaces.

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