Notes on congruence zeta functions via a Berkovich approach
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🧮 math.NT
keywords
zetaberkovichcongruencefunctionsagreeapproachcategoricalclassical
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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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