A new method for overconvergence of \((φ,Γ)\)-modules

2022/11/27 by Du, Heng, Liu, Tong
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2211.14712

Abstract

We show all Laurent F-crystals over p-adic fields are overconvergent.

Related

• Wach models and overconvergence of étale (φ, Γ)-modules
• Loose crystalline lifts and overconvergence of étale (φ, τ)-modules
• Overconvergence of étale (φ,Γ)-modules in families
• Descent of morphisms of overconvergent F-crystals
• On a relation of overconvergence and F-analyticity on p-adic Galois representations of a p-adic field F