$p$-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.

Bibliographic Details
Published in:Forum of Mathematics, Pi
Main Author: PETER SCHOLZE
Format: Article
Language:English
Published: Cambridge University Press 2013-01-01
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508613000012/type/journal_article