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Preprints, Working Papers, ... Year : 2022

Cartier transform and prismatic crystals


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.

Dates and versions

hal-03822829 , version 1 (20-10-2022)



Michel Gros, Bernard Le Stum, Adolfo Quirós. Cartier transform and prismatic crystals. 2022. ⟨hal-03822829⟩
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