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
论文摘要
我们对Abelian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.