Frames and finite group schemes over complete regular local rings

2009/08/31 by Eike Lau, Lau, Eike · 1 citation
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras #math.NT

paper · pdf · doi:10.48550/arxiv.0908.4588

22 pages

arxiv created 2009/08/31 · openalex publication_date 2009/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p be an odd prime. We show that the classification of p-divisible groups by Breuil windows and the classification of finite flat group schemes of p-power order by Breuil modules hold over any complete regular local ring with perfect residue field of characteristic p. We use a formalism of frames and windows with an abstract deformation theory that applies to Breuil windows.

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