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arXiv · 2504.06471

On the tangent flow to the collapsing K\"{a}hler-Ricci flow on Hirzebruch surfaces

Jiangtao Li
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Abstract

In this paper, we study the collpasing K\"{a}hler-Ricci flow on Hirzebruch surfaces, which develops finite time singularities. We show that any tangent flow based at a point in the singular time slice is the K\"{a}hler-Ricci flow associated with a nonflat gradient K\"{a}hler-Ricci shrinker with finitely many orbifold singularities .

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Jiangtao Li. 2025-04-08. On the tangent flow to the collapsing K\"{a}hler-Ricci flow on Hirzebruch surfaces. https://arxiv.org/abs/2504.06471

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