Yutaro Mikami

collaborators

4 papers

math.NT2026

The $p$ -adic monodromy theorem over algebraic-affinoid algebras

Yutaro Mikami

In the previous paper of the author, motivated by the categorical $p$ -adic local Langlands correspondence, the author studied families of $G_{K}$ -equivariant vector bundles over the…

math.NT2026

Finiteness and duality of cohomology of $(I ¨ , I^)$ -modules and the 6-functor formalism of locally analytic representations

Yutaro Mikami

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

math.NT2026

$(I ¨ , I^)$ -modules over relatively discrete algebras

Yutaro Mikami

In this paper, we study $(I ¨ , I^)$ -modules over rings which are "combinations of discrete algebras and affinoid $Q_{p}$ -algebras", and prove basic results such as the existen…

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…

The p-adic monodromy theorem over algebraic-affinoid algebras

Finiteness and duality of cohomology of (I¨,I^)-modules and the 6-functor formalism of locally analytic representations

(I¨,I^)-modules over relatively discrete algebras

On the relative Nullstellensatz in nonarchimedean geometry

The $p$ -adic monodromy theorem over algebraic-affinoid algebras

Finiteness and duality of cohomology of $(I ¨ , I^)$ -modules and the 6-functor formalism of locally analytic representations

$(I ¨ , I^)$ -modules over relatively discrete algebras