Let $S=\{x_{1},...,x_{N}\}\subset X^{\mathrm{div}}$ be a finite set of divisorial points, and set for $t=(t_{1},...,t_{N})\in\mathbf{R}^{N}$

(8.4)

$$\varphi_{S,t}:=\sup\left\{\varphi\mid\varphi\in\PSH(X,\omega),\,\varphi(x_{i})\leq t_{i}\text{ for }i=1,...,N\right\}~.$$

Then $\varphi_{S,t}$ is a continuous $\omega$-psh function, and $\MA(\varphi_{S,t})$ is supported in $S$.