Twisted differential operators of negative level and prismatic crystals
Algebraic Geometry
2020-10-13 v2
Abstract
We introduce twisted differential calculus of negative level and prove a descent theorem: Frobenius pullback provides an equivalence between finitely presented modules endowed with a topologically quasi-nilpotent twisted connection of level minus one and those of level zero. We explain how this is related to the existence of a Cartier operator on prismatic crystals. For the sake of readability, we limit ourselves to the case of dimension one.
Cite
@article{arxiv.2010.04433,
title = {Twisted differential operators of negative level and prismatic crystals},
author = {Michel Gros and Bernard Le Stum and Adolfo Quirós},
journal= {arXiv preprint arXiv:2010.04433},
year = {2020}
}