Diophantine Geometry: An Introduction
《Diophantine Geometry: An Introduction》 · 第 280 页 · Part C，Section C.3「The Selmer and Shafarevich–Tate Groups」，局部化段
Indeed, for each place $v$ of $k$, let $k_v$ be the completion of $k$ at $v$ and let $G_v:=\operatorname{Gal}(\overline{k}_v/k_v)$ be the absolute Galois group of $k_v$.