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Type I estimates for the Kahler-Ricci flow I

  • Wangjian Jian
  • Jian Song
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Abstract

We establish the Type I estimate for the scalar curvature of the Kahler-Ricci flow on compact Kahler manifolds, for arbitrary smooth initial metrics, whenever the flow develops finite time singularities. This estimate is a building block for the analytic minimal model program with Ricci flow.

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Cite

BibTeXRIS
BibTeX
@misc{jian2026type,
  title = {{Type I estimates for the Kahler-Ricci flow I}},
  author = {Wangjian Jian and Jian Song},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.39620},
  eprint = {2609.39620},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.39620},
}
RIS
TY  - UNPB
TI  - Type I estimates for the Kahler-Ricci flow I
AU  - Wangjian Jian
AU  - Jian Song
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.39620
UR  - https://arxiv.org/abs/2609.39620
AB  - We establish the Type I estimate for the scalar curvature of the Kahler-Ricci flow on compact Kahler manifolds, for arbitrary smooth initial metrics, whenever the flow develops finite time singularities. This estimate is a building block for the analytic minimal model program with Ricci flow.
ER  -