Definition 5.8 . [016Z]

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Definition 5.8.

If $\psi$ is a continuous (or usc) metric on $K_{X}^{\mathrm{an}}$ , set $\kappa:=A_{X}-\psi$ and $\kappa_{\min}:=\inf_{X^{\mathrm{an}}}\kappa$ . The skeleton of $\psi$ is the compact set

\operatorname{Sk}(\psi)=\left\{x\in{X^{\mathrm{an}}}\mid\kappa(x)=\kappa_{\min}\right\}.