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Divided Dieudonné crystals

2018/11/23 by Eike Lau, Lau, Eike
Mathematics · #14F30 #14L05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1811.09439

openalex publication_date 2018/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a category of divided Dieudonné crystals which classifies p-divisible groups over schemes in characteristic p with certain finiteness conditions, including all F-finite noetherian schemes. For formally smooth schemes or locally complete intersections this generalizes and extends known results on the classical crystalline Dieudonné functor.

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