Non-collapsed finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912440930795520 |
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| author | Conlon, Ronan J. Hallgren, Max Ma, Zilu |
| author_facet | Conlon, Ronan J. Hallgren, Max Ma, Zilu |
| contents | We show that any non-collapsed finite time singularity of the Ricci flow on a compact Kähler 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 $\mathcal{O}_{\mathbb{P}^1}(-1)\to\mathbb{P}^{1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19804 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-collapsed finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I Conlon, Ronan J. Hallgren, Max Ma, Zilu Differential Geometry We show that any non-collapsed finite time singularity of the Ricci flow on a compact Kähler 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 $\mathcal{O}_{\mathbb{P}^1}(-1)\to\mathbb{P}^{1}$. |
| title | Non-collapsed finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2502.19804 |