论文标题

有限组方案的扩展和扭转

Extensions and torsors for finite group schemes

论文作者

Bruin, Peter

论文摘要

我们对Abe​​lian群体的捆绑进行了明确描述组方案中心扩展类别的类别。基于此,我们描述了一个用于计算有限的交换组方案的中心扩展,这些对象的组方案和同构类别组下的托管的框架。

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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