Yutaro Mikami

collaborators

3 papers

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…

math.AG2023

Fppf-descent for condensed animated rings

Yutaro Mikami

In this paper, we define "animated affinoid algebras" and prove some basic properties of them. Then we generalize the result of the previous paper of the author and the result of L…

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

Fppf-descent for condensed animated rings

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