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Bibliographic Details
Main Author: Yamada, Yuto
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.26488
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author Yamada, Yuto
author_facet Yamada, Yuto
contents We revisit congruence zeta functions of smooth projective varieties over finite fields in the framework of Scholze's Berkovich motives. Via this formalism and categorical traces, we construct a new zeta function, and show that it agree with classical one
format Preprint
id arxiv_https___arxiv_org_abs_2605_26488
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Notes on congruence zeta functions via a Berkovich approach
Yamada, Yuto
Number Theory
Primary 14G05, Secondary 11G25, 14F42
We revisit congruence zeta functions of smooth projective varieties over finite fields in the framework of Scholze's Berkovich motives. Via this formalism and categorical traces, we construct a new zeta function, and show that it agree with classical one
title Notes on congruence zeta functions via a Berkovich approach
topic Number Theory
Primary 14G05, Secondary 11G25, 14F42
url https://arxiv.org/abs/2605.26488