Author

Jian Song

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Preprint Sep 2026

Finite-Time Singularities of the K\"ahler--Ricci Flow on Fano Bundles II

The analytic minimal model program proposed in \cite{SongTianSingularities, JST} seeks to describe the birational transitions and fibre collapsing of the K\"ahler--Ricci flow through the geometry of its singularities. A fundamental conjecture of \cite{JST} predicts Type I bounds for the scalar curvature and diameter of...

Wang-Jian Jian, Jian Song · 0 citations

Preprint Sep 2026

Finite-Time Singularities of the K\"ahler--Ricci Flow on Fano Bundles

We study collapsing finite-time singularities of the unnormalized K\"ahler--Ricci flow on Fano bundles arising in the analytic minimal model program. For a Fano bundle $X^n\rightarrow Y^m$, we prove a maximal splitting theorem by the K\"ahler-Ricci flow that every tangent space at a fixed limiting point splits globally...

Wang-Jian Jian, Jian Song · 7 citations · ⚡2