Prismatic Dieudonné theory

Johannes Anschütz , Arthur-César Le Bras (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

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]

Johannes Anschütz, Arthur-César Le Bras. Prismatic Dieudonné theory. 2020. ⟨hal-03018452v1⟩