Relative $A_{\rm inf}$-cohomology
Number Theory
2022-06-17 v1 Algebraic Geometry
Abstract
We construct a relative version of the -cohomology theory developed by Bhatt-Morrow-Scholze and relate it to the prismatic theory of Bhatt-Scholze. The construction relies on the fiber product of topoi. As an application we show that there is an \'etale comparison of the -crystalline pushforward after inverting .
Cite
@article{arxiv.2206.07983,
title = {Relative $A_{\rm inf}$-cohomology},
author = {Ildar Gaisin and Teruhisa Koshikawa},
journal= {arXiv preprint arXiv:2206.07983},
year = {2022}
}