ScalingStacks

We call a convex function $u$ on $N_{\mathbb{R}}=\mathbb{R}^{n+1}$ admissible if it satisfies the asymptotic growth condition

$$\sup_{x}|u(x)-\max_{m\in\Delta}\langle m,x\rangle|<+\infty,$$

(18)

which captures the information of the Kähler class.