Height 1 Group Schemes and Prismatic F-Gauges
Algebraic Geometry
2026-04-20 v1
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.
Cite
@article{arxiv.2604.16066,
title = {Height 1 Group Schemes and Prismatic F-Gauges},
author = {Shubhodip Mondal and Martin Olsson},
journal= {arXiv preprint arXiv:2604.16066},
year = {2026}
}
Comments
16 pages