-ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES

Author:

SCHOLZE PETER

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Analysis

Reference19 articles.

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