$E_\infty$-Ring structures on the $K$-theory of assemblers and point counting

Autor:	Zakharevich, Inna
Rok vydání:	2022
Předmět:	Mathematics - K-Theory and Homology 13D15 18F30 19F27 19F99
Druh dokumentu:	Working Paper
Popis:	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 $K_1(\mathbf{Var}_k)$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.08640 Zobrazit plný text záznamu View this record from Arxiv