Yutaro Mikami

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20232026

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math.NT2025

Finiteness and duality of cohomology of $(φ, Γ)$ -modules and the 6-functor formalism of locally analytic representations

Yutaro Mikami

Finiteness and duality of cohomology of families of $(φ, Γ)$ -modules were proved by Kedlaya-Pottharst-Xiao. In this paper, we study solid locally analytic representations introduced…

math.AG2025

On the relative Nullstellensatz in nonarchimedean geometry

Kiran S. Kedlaya, Yutaro Mikami

We establish a relative version of the Nullstellensatz for algebras topologically of finite type over a given Banach Tate ring $A$ , under the assumption that the corresponding stat…

Finiteness and duality of cohomology of (φ,Γ)-modules and the 6-functor formalism of locally analytic representations

On the relative Nullstellensatz in nonarchimedean geometry

Finiteness and duality of cohomology of $(φ, Γ)$ -modules and the 6-functor formalism of locally analytic representations