Geometric Regularity of Blow-up Limits of the Kähler-Ricci Flow

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发表日期：

2024年10月16日

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Max Hallgren,
Wangjian Jian,
Jian Song,
Gang Tian

摘要

We establish geometric regularity for Type I blow-up limits of the Kähler-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 distances. In particular, the singular sets of each time slice and its tangent cones are closed and of codimension no less than 4.