Based on the compactness of the moduli of non-collapsed Calabi–Yau spaces with mild singularities, we set up a structure theory for polarized Kähler Ricci flows with proper geometric bounds. Our theory is a generalization of the structure theory of non-collapsed Kähler Einstein manifolds. As applications, we show the convergence of the Kähler Ricci flow in an appropriate topology and prove the partial-$C^0$-conjecture.

中文翻译：

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Ricci流量空间（II）— B部分：流量的紧凑性

基于具有温和奇点的非塌陷Calabi-Yau空间模量的紧致性，我们建立了具有适当几何边界的极化KählerRicci流的结构理论。我们的理论是对非塌陷KählerEinstein流形的结构理论的概括。作为应用，我们显示了KählerRicci流在适当拓扑中的收敛性，并证明了部分$ C ^ 0 $-猜想。