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arXiv · 2502.19804

Non-collapsed finite time singularities of the Ricci flow on compact K\"ahler surfaces are of Type I

Ronan J. Conlon·Max Hallgren·Zilu Ma
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Abstract

We show that any non-collapsed finite time singularity of the Ricci flow on a compact K\"ahler surface is of Type I. Combined with a previous result of the first author, Cifarelli, and Deruelle, it follows that any such singularity is modeled on the shrinking Ricci soliton of Feldman-Ilmanen-Knopf on the total space of the line bundle $\mathcal{O}_{\mathbb{P}^1}(-1)\to\mathbb{P}^{1}$.

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Ronan J. Conlon, Max Hallgren, Zilu Ma. 2025-02-27. Non-collapsed finite time singularities of the Ricci flow on compact K\"ahler surfaces are of Type I. https://arxiv.org/abs/2502.19804

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