Cartier smoothness in prismatic cohomology
Algebraic Geometry
2023-10-09 v2 K-Theory and Homology
Number Theory
Abstract
We introduce the notion of a -Cartier smooth algebra. It generalises that of a smooth algebra and includes valuation rings over a perfectoid base. We give several characterisations of -Cartier smoothness in terms of prismatic cohomology, and deduce a comparison theorem between syntomic and \'etale cohomologies under this hypothesis.
Keywords
Cite
@article{arxiv.2211.16371,
title = {Cartier smoothness in prismatic cohomology},
author = {Tess Bouis},
journal= {arXiv preprint arXiv:2211.16371},
year = {2023}
}
Comments
v2: minor updates, some proofs are simplified