Cohomology of p-adic Stein spaces
classification
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math.AGmath.RT
keywords
adicetalecohomologypro-spacessteincohomologiescomparison
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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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