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Extensions and torsors for finite group schemes (2207.11289v1)

Published 22 Jul 2022 in math.AG and math.NT

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.

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