2019/05/25 by James Borger, Borger, James, Lance Gurney +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Number Theory (math.NT) #math.AG #math.NT
paper · pdf · doi:10.48550/arxiv.1905.10495
We added a few words emphasising the unpolarised context to the introduction. Further polishing. To appear in Selecta
openalex publication_date 2019/05/25 · arxiv created 2020/09/11 · arxiv updated 2020/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend the Serre-Tate theory of canonical lifts of ordinary abelian varieties to arbitrary unpolarised families of ordinary abelian varieties parameterised by a p-adic formal scheme S. We show that the canonical lift is the unique lift to W(S) which admits a δ-structure in the sense of Joyal, Buium, and Bousfield. We prove analogous statements for families of ordinary p-groups and p-divisible groups.