Notes on congruence zeta functions via a Berkovich approach

Yuto Yamada

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arXiv · 2605.26488

Notes on congruence zeta functions via a Berkovich approach

Yuto Yamada

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Abstract

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

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Yuto Yamada. 2026-05-26. Notes on congruence zeta functions via a Berkovich approach. https://arxiv.org/abs/2605.26488

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