$E_\infty$-Ring structures on the $K$-theory of assemblers and point counting
K-Theory and Homology
2022-09-20 v1
Abstract
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 .
Cite
@article{arxiv.2209.08640,
title = {$E_\infty$-Ring structures on the $K$-theory of assemblers and point counting},
author = {Inna Zakharevich},
journal= {arXiv preprint arXiv:2209.08640},
year = {2022}
}