On p-adic comparison theorems for rigid analytic varieties, I
Algebraic Geometry
2019-10-08 v2 Number Theory
Abstract
We compute, in a stable range, the arithmetic p-adic etale cohomology of smooth rigid analytic and dagger varieties (without any assumption on the existence of a nice integral model) in terms of differential forms using syntomic methods. The main technical input is a construction of a Hyodo-Kato cohomology and a Hyodo-Kato isomorphism with de Rham cohomology.
Cite
@article{arxiv.1905.04721,
title = {On p-adic comparison theorems for rigid analytic varieties, I},
author = {Pierre Colmez and Wiesława Nizioł},
journal= {arXiv preprint arXiv:1905.04721},
year = {2019}
}