Height 1 Group Schemes and Prismatic F-Gauges

Shubhodip Mondal; Martin Olsson

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arXiv · 2604.16066

Height 1 Group Schemes and Prismatic F-Gauges

Shubhodip Mondal·Martin Olsson

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Abstract

We describe the prismatic F-gauge associated to a finite flat height one group scheme over a smooth variety of positive characteristic. As applications, we derive the description of the crystalline Dieudonn\'e module of Berthelot-Breen-Messing in this case and recover results of Bragg-Olsson describing flat cohomology using a Hoobler-type sequence.

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Shubhodip Mondal, Martin Olsson. 2026-04-17. Height 1 Group Schemes and Prismatic F-Gauges. https://arxiv.org/abs/2604.16066

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