Independence of Singularity Type for Numerically Effective Kähler-Ricci Flows
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916585908731904 |
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| author | Wondo, Hosea Zhang, Zhou |
| author_facet | Wondo, Hosea Zhang, Zhou |
| contents | In this paper, we show that the singularity type of solutions to the Käher-Ricci flow on a numerically effective manifold does not depend on the initial metric. More precisely if there exists a type III solution to the Kähler-Ricci flow, then any other solution starting from a different initial metric will also be Type III. This generalises previous results by Y. Zhang for the semi-ample case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_12527 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Independence of Singularity Type for Numerically Effective Kähler-Ricci Flows Wondo, Hosea Zhang, Zhou Differential Geometry Primary 53C55, Secondary 32Q15 In this paper, we show that the singularity type of solutions to the Käher-Ricci flow on a numerically effective manifold does not depend on the initial metric. More precisely if there exists a type III solution to the Kähler-Ricci flow, then any other solution starting from a different initial metric will also be Type III. This generalises previous results by Y. Zhang for the semi-ample case. |
| title | Independence of Singularity Type for Numerically Effective Kähler-Ricci Flows |
| topic | Differential Geometry Primary 53C55, Secondary 32Q15 |
| url | https://arxiv.org/abs/2308.12527 |