Divided Dieudonné crystals
Abstract
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Publisher
- Walter de Gruyter GmbH
- Publication date
- 21 September 2026
- Language
- EN