论文标题
关于扭转的组成
On composition of torsors
论文作者
论文摘要
让$ k $为一个字段，让$ x $为连接的平滑$ k $ -scheme，让$ g，h $是两个平滑连接的$ k $ group方案。给定$ y \ to x $ a $ g $ -torsor和$ z \ to y $ a $ a $ h $ -torsor，我们研究是否可以找到$ h $ by $ h $的扩展名$ e $ e $ e $ g $ by $ h $，因此复合$ z \ to x $是$ e $ e $ -torsor。我们给出积极和负面的结果，具体取决于$ g $和$ h $的组的性质。
Let $K$ be a field, let $X$ be a connected smooth $K$-scheme and let $G,H$ be two smooth connected $K$-group schemes. Given $Y \to X$ a $G$-torsor and $Z \to Y$ an $H$-torsor, we study whether one can find an extension $E$ of $G$ by $H$ so that the composite $Z \to X$ is an $E$-torsor. We give both positive and negative results, depending on the nature of the groups $G$ and $H$.
