Takumi Watanabe

collaborators

2 papers

math.NT2026

A remark on an integral structure of the imperfect coefficient ring of $(φ, Γ)$ -modules

Takumi Watanabe

Let $K$ be a complete discrete valuation field of characteristic $0$ with perfect residue field of characteristic $p > 0$ . Let $A_{K}$ denote the imperfect coefficient ring of…

math.NT2024

On the $(φ, Γ)$ -modules corresponding to crystalline representations

Takumi Watanabe

Let $K$ be a complete discrete valuation field of characteristic $0$ with perfect residue field of characteristic $p > 0$ . We introduce the notion of crystalline $(φ, Γ)$ -modules over…

A remark on an integral structure of the imperfect coefficient ring of (φ,Γ)-modules

On the (φ,Γ)-modules corresponding to crystalline representations

A remark on an integral structure of the imperfect coefficient ring of $(φ, Γ)$ -modules

On the $(φ, Γ)$ -modules corresponding to crystalline representations