2 papers
math.CV2026
Analytification for Complex Geometry Revisited
Yuto Yamada
We develop an ind-Banach framework for revisiting analytification in complex geometry, inspired by Bambozzi-Chiarellotto-Vanni's work on tempered cohomology. We define several ind-…
math.NT2026
Notes on congruence zeta functions via a Berkovich approach
Yuto Yamada
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, w…