Finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I

@misc{cifarelli2026finite,
  title = {{Finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I}},
  author = {Charles Cifarelli and Ronan Conlon and Max Hallgren and Junsheng Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16733},
  eprint = {2609.16733},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16733},
}

TY  - UNPB
TI  - Finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I
AU  - Charles Cifarelli
AU  - Ronan Conlon
AU  - Max Hallgren
AU  - Junsheng Zhang
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.16733
UR  - https://arxiv.org/abs/2609.16733
AB  - For any volume-collapsing finite-time singularity of a Kähler-Ricci flow on a compact Kähler surface, we show the flow satisfies a Type I curvature bound and classify the corresponding tangent flows. Combined with previous results, this shows that any finite-time singularity of a Kähler-Ricci flow on a compact Kähler surface is of Type I.
ER  -