Prismatic Dieudonné theory

2019/07/24 by Anschütz, Johannes, Bras, Arthur-César Le · 3 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1907.10525

Abstract

We define, for each quasi-syntomic ring R (in the sense of Bhatt-Morrow-Scholze), a category DM^{\rm adm}(R) of admissible prismatic Dieudonné crystals over R and a natural functor from p-divisible groups over R to DM^{\rm adm}(R). We prove that this functor is an antiequivalence. Our main cohomological tool is the prismatic formalism recently developed by Bhatt and Scholze.

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