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

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(...

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Bibliographic Details
Published in:arXiv.org 2022-09
Main Author: Zakharevich, Inna
Format: Article
Language:English
Subjects:
Fields (mathematics)
Ring structures
Online Access:Get full text
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Summary: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 \(K_1(\mathbf{Var}_k)\).
ISSN:2331-8422