ScalingStacks

Remark 3.7. The intuition is that a neighbourhood of $\partial\Delta_{\lambda}^{\vee}$ corresponds to a toric region, while $\mathcal{A}_{\lambda,\sigma}^{\infty}$ controls how $X_{s}$ approaches the toric boundary of $\mathbb{P}_{\Delta}$, and the stratification is related to how the toric boundary components intersect.