We improve the estimates in the recent paper of Gross--Tosatti--Zhang concerning the geometry of twisted K\"ahler--Einstein metrics and collapsing. In particular, our improved estimates allow us to settle a well-known conjecture concerning the structure of the Gromov--Hausdorff limit in both the setting of degenerating Calabi--Yau manifolds and the K\"ahler--Ricci flow.
Reeb stability and the Gromov-Hausdorff limits of leaves in compact foliations
Gromov-Hausdorff limit of Kähler manifolds and the finite generation conjecture
On the Gromov-Hausdorff limits of Tori with Ricci curvature lower bound
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