Fix an algebraic scheme $X$ over $\operatorname{Spec}k$, that is, $X$ is a scheme of finite type over $\operatorname{Spec}(k)$. Let $X^{\mathrm{an}}$ be the analytification of $X$ in the sense of Berkovich [1]. For $x\in X^{\mathrm{an}}$, the residue field of the associated scheme point of $x$ is denoted by $\kappa(x)$. Note that the seminorm $|\raisebox{1.72218pt}{.}|_{x}$ at $x$ yields an absolute value of $\kappa(x)$. By abuse of notation, it is denoted by $|\raisebox{1.72218pt}{.}|_{x}$. Let $\hat{\kappa}(x)$ be the completion of $\kappa(x)$ with respect to $|\raisebox{1.72218pt}{.}|_{x}$. The extension of $|\raisebox{1.72218pt}{.}|_{x}$ to $\hat{\kappa}(x)$ is also denoted by the same symbol $|\raisebox{1.72218pt}{.}|_{x}$. The valuation ring of $\hat{\kappa}(x)$ and the maximal ideal of the valuation ring are denoted by $\mathfrak{o}_{x}$ and $\mathfrak{m}_{x}$, respectively. Let $L$ be an invertible sheaf on $X$. For $x\in X^{\operatorname{an}}$, $L\otimes_{{\mathscr{O}}_{X}}\hat{\kappa}(x)$ is denoted by $L(x)$.