ScalingStacks

Remark 5.5. In dimension 2, the local regularity theory implies that $\mathcal{R}=\partial\Delta_{\lambda}^{\vee}\setminus Sing$, namely the real MA solution is smooth wherever the affine structure is defined. The same might hold in any higher dimension, although this cannot be concluded by local regularity results alone (cf. Remark 2.15).