论文标题
shtukas堆叠的同伴滑轮的平滑度
Smoothness of cohomology sheaves of stacks of shtukas
论文作者
论文摘要
我们证明，对于所有还原群，我们都在$（x -n）^i $上紧凑地支撑shtukas的同种束带，并且它们的几何通用纤维配备了$ \ text {weil}（x -x -n，\ overline h，\ overlineη）^i $ $。我们的方法不使用shtukas堆栈的任何紧凑型。
We prove, for all reductive groups, that the cohomology sheaves with compact support of stacks of shtukas are ind-smooth over $(X - N)^I$ and that their geometric generic fibers are equiped with an action of $\text{Weil}(X - N, \overlineη)^I$. Our method does not use any compactification of stacks of shtukas.
