Assume that $\psi$ is a model metric on $K_{X}^{\mathrm{an}}$, determined by a model ${\mathcal{L}}$ of $K_{X}$ on a proper dlt model ${\mathcal{X}}$ of $X$. Then $\operatorname{Sk}(\psi)\subset\operatorname{Sk}({\mathcal{X}})$, and $\kappa=A_{X}-\psi$ is affine on each face of $\Delta({\mathcal{X}})$. In particular,

$$\kappa_{\min}=\min_{i}\kappa(v_{i}),$$

(5.5)

where $v_{i}$ runs over the vertices in $\Delta({\mathcal{X}})$, and $\operatorname{Sk}(\psi)$ is the subset of $\operatorname{Sk}({\mathcal{X}})\subset X^{\mathrm{an}}$ corresponding to the subcomplex $\Delta({\mathcal{L}})$ of $\Delta({\mathcal{X}})$.