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math.AG2020
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…
math.AG2020★ 1 cited
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…
math.AG2020
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…