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arXiv · 1205.3463

p-adic Hodge theory for rigid-analytic varieties

Peter Scholze
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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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Peter Scholze. 2012-05-15. p-adic Hodge theory for rigid-analytic varieties. https://arxiv.org/abs/1205.3463

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