ScalingStacks

Definition 3.11. (cf. section 3.4) We say $\left\lVert\cdot\right\rVert_{CY}$ satisfies the NA MA-real MA comparison property, if there exists a semistable snc model $(\mathcal{X},\mathcal{L})$ of $(X,L)$ with the property that, the potential $\phi_{0}$ defined by $\left\lVert\cdot\right\rVert_{CY}=\left\lVert\cdot\right\rVert_{\mathcal{L}}e^{-\phi_{0}}$ satisfies $\phi_{0}=\phi_{0}\circ r_{\mathcal{X}}$ on the preimages of the retraction map over all the $n$-dimensional open faces $\text{Int}(\Delta_{J})\subset Sk(X)$.