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arXiv · 2203.09897

Cartier transform and prismatic crystals

Michel Gros·Bernard Le Stum·Adolfo Quirós
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Abstract

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.

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Michel Gros, Bernard Le Stum, Adolfo Quirós. 2022-03-18. Cartier transform and prismatic crystals. https://doi.org/10.2140/tunis.2023.5.405

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