论文标题
$ e_ \ infty $ - 环境结构$ k $ - 汇编和点计数的理论
$E_\infty$-Ring structures on the $K$-theory of assemblers and point counting
论文作者
论文摘要
我们在汇编器的类别上构建一个单体结构。作为此的应用，我们构建了一个派生的本地Zeta功能，该Zeta功能将有限字段的多样性带到可分离的闭合上的一组点，并使用此地图的结构来检测$ K_1中有趣的元素（\ Mathbf {var} _K）$。
We construct a monoidal structure on the category of assemblers. As an application of this, we construct a derived local zeta-function which takes a variety over a finite field to the set of points over the separable closure, and use the structure of this map to detect interesting elements in $K_1(\mathbf{Var}_k)$.
