Loose crystalline lifts and overconvergence of étale $(\phi ,\tau )$-modules

Hui Gao, Tong Liu

Let $p$ be a prime, $K$ a finite extension of ${\mathbb{Q}}_p$, and let $G_K$ be the absolute Galois group of $K$. The category of étale $(\phi ,\tau )$-modules is equivalent to the category…