A Note on Dieudonné Theory over Perfectoid Rings

2020/02/21 by Timo Henkel, Henkel, T.
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2002.09379

openalex publication_date 2020/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a perfectoid ring R and a natural number n we investigate the essential image of the category of truncated by n Barsotti-Tate groups under the anti-equivalence between commutative, finite, locally free, R-group schemes of p-power order and torsion Breuil-Kisin-Fargues modules over R. We describe the associated semi-liner algebra data and show as a consequence that every BT_n-group over R is the pⁿ-torsion of some BT-group.

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