Journal für die reine und angewandte Mathematik (Crelles Journal)· 2026Q1
Divided Dieudonné crystals
- 2citations
- Q1SCImago
- 2026year
Short summary
A new category of divided Dieudonné crystals is defined, which classifies p-divisible groups over schemes in characteristic p with specific finiteness conditions.
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Key points
- A new category of divided Dieudonné crystals has been defined.
- This category classifies p-divisible groups over schemes in characteristic p.
- The classification applies to schemes with specific finiteness conditions, including F-finite noetherian schemes.
- The work generalizes and extends the classical crystalline Dieudonné functor for formally smooth schemes and locally complete intersections.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Journal für die reine und angewandte Mathematik (Crelles Journal), 2026 · DOI ↗
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Geometry and TopologyMathematics