p-adic Hodge theory for rigid-analytic varieties
Algebraic Geometry
2012-11-06 v2 Number Theory
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.
Cite
@article{arxiv.1205.3463,
title = {p-adic Hodge theory for rigid-analytic varieties},
author = {Peter Scholze},
journal= {arXiv preprint arXiv:1205.3463},
year = {2012}
}
Comments
55 pages. Added result that connected affinoid rigid-analytic varieties over p-adic fields are K(pi,1)'s for p-torsion coefficients