Height 1 Group Schemes and Prismatic F-Gauges

Fuente: arXiv
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Autori principali: Mondal, Shubhodip, Olsson, Martin
Natura: Preprint
Pubblicazione: 2026
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author Mondal, Shubhodip
Olsson, Martin
author_facet Mondal, Shubhodip
Olsson, Martin
contents 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 Dieudonné module of Berthelot-Breen-Messing in this case and recover results of Bragg-Olsson describing flat cohomology using a Hoobler-type sequence.
format Preprint
id arxiv_https___arxiv_org_abs_2604_16066
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Height 1 Group Schemes and Prismatic F-Gauges
Mondal, Shubhodip
Olsson, Martin
Algebraic Geometry
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 Dieudonné module of Berthelot-Breen-Messing in this case and recover results of Bragg-Olsson describing flat cohomology using a Hoobler-type sequence.
title Height 1 Group Schemes and Prismatic F-Gauges
topic Algebraic Geometry
url https://arxiv.org/abs/2604.16066