Logarithmic Prismatic Cohomology I
Algebraic Geometry
2022-09-16 v3 Number Theory
Abstract
We introduce a logarithmic variant of the notion of -rings, which we call -rings, and use it to define a logarithmic version of the prismatic site introduced by Bhatt and Scholze. In particular, this enables us to construct the Breuil-Kisin cohomology in the semistable case.
Cite
@article{arxiv.2007.14037,
title = {Logarithmic Prismatic Cohomology I},
author = {Teruhisa Koshikawa},
journal= {arXiv preprint arXiv:2007.14037},
year = {2022}
}
Comments
64 pages, preliminary version