Prismatic Dieudonné theory
Résumé
We define, for each quasi-syntomic ring R (in the sense of Bhatt-Morrow-Scholze), a category DF(R) of filtered prismatic Dieudonné crystals over R and a functor from p-divisible groups over R to DF(R). We prove that this functor is an antiequivalence. Our main cohomological tool is the prismatic formalism recently developed by Bhatt and Scholze.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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