Relative Fontaine-Messing theory over power series rings
Number Theory
2023-11-17 v2
Abstract
Let be a perfect field of characteristic , be the power series ring over the Witt vectors, and be a smooth proper scheme over . The main goal of this article is to extend classical Fontaine-Messing theory to the setting where the base ring is . In particular, we obtain comparison theorems between torsion crystalline cohomology of and torsion \'etale cohomology in this setting.
Keywords
Cite
@article{arxiv.2012.04013,
title = {Relative Fontaine-Messing theory over power series rings},
author = {Tong Liu and Yong Suk Moon and Deepam Patel},
journal= {arXiv preprint arXiv:2012.04013},
year = {2023}
}