4 citations · 6 across the 5 of their papers we have counts for
7 papers
Twisted differential operators of negative level and prismatic crystals
Michel Gros, Bernard Le Stum, Adolfo Quirós
We introduce twisted differential calculus of negative level and prove a descent theorem: Frobenius pullback provides an equivalence between finitely presented modules endowed with…
Twisted differential operators and -crystals
Michel Gros, Bernard Le Stum, Adolfo Quirós
We discuss the notion of a q-PD-envelope considered by Bhatt and Scholze in their recent theory of q-crystalline cohomology and explain the relation with our notion of a divided po…
The relative Hodge-Tate spectral sequence -- an overview
Ahmed Abbes, Michel Gros
We give in this note an overview of a recent work leading to a generalization of the Hodge-Tate spectral sequence to morphisms. The latter takes place in Faltings topos, but its co…
Twisted divided powers and applications
Michel Gros, Bernard Le Stum, Adolfo Quirós
In order to give a formal treatment of differential equations in positive characteristic p, it is necessary to use divided powers. One runs into an analog problem in the theory of…
Topos co-évanescents et généralisations
Ahmed Abbes, Michel Gros
This article is devoted to studying a topos introduced by Faltings for the purpose of -adic Hodge theory. We present a new approach based on a generalisation of Deligne's co-van…
A Simpson correspondence in positive characteristic
Michel Gros, Bernard Le Stum, Adolfo Quirós
We define the -curvature map on the sheaf of differential operators of level on a scheme of positive characteristic as dual to some divided power map on infinitesimal…