Extensions and torsors for finite group schemes

2022/07/22 by Bruin, Peter · 1 citation
#11Y40 #14L15 (primary) #14Q25 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2207.11289

Abstract

We give an explicit description of the category of central extensions of a group scheme by a sheaf of Abelian groups. Based on this, we describe a framework for computing with central extensions of finite commutative group schemes, torsors under such group schemes and groups of isomorphism classes of these objects.

Cited by

• Extensions of Abelian Schemes and the Additive Group

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