Prismatic F-gauges are described for finite flat height one group schemes, yielding the crystalline Dieudonné module of Berthelot-Breen-Messing and flat cohomology results via Hoobler-type sequences.
Bhatt,PrismaticF-gauges, 2023, available athttps://www.math.ias.edu/ ~bhatt/teaching/mat549f22/ lectures.pdf
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Height 1 Group Schemes and Prismatic F-Gauges
Prismatic F-gauges are described for finite flat height one group schemes, yielding the crystalline Dieudonné module of Berthelot-Breen-Messing and flat cohomology results via Hoobler-type sequences.