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arXiv · 2609.18834

Collapsed Finite Time Singularities of the Kähler-Ricci Flow on Complex Surfaces are of Type I

Tongxin Xu·Zhenlei Zhang
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Abstract

We prove that any finite-time collapsing Kähler-Ricci flow on compact Kähler surfaces develops a Type I singularity. Together with the previous results, this implies that any finite time singularity of the Kähler-Ricci flow on compact Kähler surfaces is of Type I.

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Tongxin Xu, Zhenlei Zhang. 2026-09-16. Collapsed Finite Time Singularities of the Kähler-Ricci Flow on Complex Surfaces are of Type I. https://arxiv.org/abs/2609.18834

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