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arXiv · 2310.08610

Geometric regularity of blow-up limits of the K\"ahler-Ricci flow

Max Hallgren·Wangjian Jian·Jian Song·Gang Tian
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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-$W_1$ 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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Max Hallgren, Wangjian Jian, Jian Song, Gang Tian. 2023-10-11. Geometric regularity of blow-up limits of the K\"ahler-Ricci flow. https://arxiv.org/abs/2310.08610

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