Cartier transform and prismatic crystals
Algebraic Geometry
2023-11-08 v1
Abstract
We show that the abstract equivalence of categories, called Cartier transform, between crystals on the q-crystalline and prismatic sites can be locally identified with the explicit local q-twisted Simpson correspondence. This establishes four equivalences that are all compatible with the relevant cohomology theories. We restrict ourselves for simplicity to the dimension one situation.
Keywords
Cite
@article{arxiv.2203.09897,
title = {Cartier transform and prismatic crystals},
author = {Michel Gros and Bernard Le Stum and Adolfo Quirós},
journal= {arXiv preprint arXiv:2203.09897},
year = {2023}
}