Integral forms and torsors of inseparable forms of G_a

TL;DR

This paper investigates the structure and classification of inseparable forms of the additive group over imperfect fields, focusing on their integral models and torsors in positive characteristic.

Contribution

It provides new insights into the integral models and torsor classification of inseparable forms of G_a over Dedekind schemes in positive characteristic.

Findings

Computed the group of isomorphism classes of torsors of one-dimensional groups.

Analyzed regular integral models over Dedekind schemes.

Recalled key facts about F-wound commutative unipotent groups.

Abstract

After recalling some basic facts about F-wound commutative unipotent algebraic groups over an imperfect field F we study their regular integral models over Dedekind schemes of positive characteristic and compute the group of isomorphisms classes of torsors of one-dimensional groups.