{"ID":23003502,"CreatedAt":"2026-09-17T04:20:54.235930923Z","UpdatedAt":"2026-09-17T04:20:54.235930923Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.18834","arxiv_id":"2609.18834","title":"Collapsed Finite Time Singularities of the Kähler-Ricci Flow on Complex Surfaces are of Type I","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.","short_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.","url_abs":"https://arxiv.org/abs/2609.18834","url_pdf":"https://arxiv.org/pdf/2609.18834v1","authors":"[\"Tongxin Xu\",\"Zhenlei Zhang\"]","published":"2026-09-16T15:41:18Z","proceeding":"math.DG","tasks":"[\"math.DG\"]","methods":"[]","has_code":false}