ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES

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-étale site, which makes all constructions completely functorial.

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Veröffentlicht in:Forum of mathematics. Pi 2013, Vol.1, Article e1
1. Verfasser: SCHOLZE, PETER
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description 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-étale site, which makes all constructions completely functorial.
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title ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES
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