论文标题
Tannakian修补方法
A Tannakian approach to patching
论文作者
论文摘要
我们使用Tannakian方法表明，对连贯的滑轮进行修补意味着用仿射稳定器的任何Noetherian代数堆栈中的对象进行修补。除其他事项外，这提供了一种直接的方法，可以证明在线性代数组下为Torsors进行修补，并在适当的代数空间上为滑轮和Torsors进行补丁。
We use Tannakian methods to show that patching for coherent sheaves implies patching for objects in any Noetherian algebraic stack with affine stabilizers. Among other things, this gives a straightforward way to prove patching for torsors under linear algebraic groups, as well as patching for sheaves and torsors on proper algebraic spaces.
