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Journal Articles Tunisian Journal of Mathematics Year : 2022

Twisted differential operators of negative level and prismatic crystals

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.
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Dates and versions

hal-02968767 , version 1 (16-10-2020)

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Michel Gros, Bernard Le Stum, Adolfo Quirós. Twisted differential operators of negative level and prismatic crystals. Tunisian Journal of Mathematics, 2022, 4, pp.19-53. ⟨10.2140/tunis.2022.4.19⟩. ⟨hal-02968767⟩
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