Geometric regularity of blow-up limits of the K\"ahler-Ricci flow
Abstract
We establish geometric regularity for Type I blow-up limits of the K\"ahler-Ricci flow based at any sequence of Ricci vertices. As a consequence, the limiting flow is continuous in time in both Gromov-Hausdorff and Gromov-W1 distance. In particular, the singular sets of each time slice and its tangent cones are close and of codimension no less than 4.
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