Recognition: unknown
p-adic Hodge theory for rigid-analytic varieties
classification
🧮 math.AG
math.NT
keywords
rigid-analytictheoryvarietiesanothercoefficientscomparisoncompletelyconstructions
read the original abstract
We give proofs of de Rham comparison isomorphisms for rigid-analytic varieties, with coefficients and in families. This relies on the theory of perfectoid spaces. Another new ingredient is the pro-etale site, which makes all constructions completely functorial.
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