ScalingStacks

Proposition 5.2. [6, Prop 5.9] Let $\mathcal{X}$ be an snc model for $X_{K}$, and $\mathcal{L}\to\mathcal{X}$ be a model line bundle for $L\to X$, with associated closed (1,1)-form $\theta$. Then the restriction of any continuous $\theta$-psh function to any face of $\Delta_{\mathcal{X}}\subset X_{K}^{an}$ is convex.