Regularizing property of the twisted conical Kähler-Ricci flow
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917692454207488 |
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| author | Liu, Jiawei Zhang, Shiyu Zhang, Xi |
| author_facet | Liu, Jiawei Zhang, Shiyu Zhang, Xi |
| contents | In this paper, we show the regularity and uniqueness of the twisted conical Kähler-Ricci flow running from a positive closed current with zero Lelong number, which extends the regularizing property of the smooth twisted Kähler-Ricci flow, known as Guedj-Zeriahi's existence theorem and Di Nezza-Lu's uniqueness theorem, to the conical singularity case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08778 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularizing property of the twisted conical Kähler-Ricci flow Liu, Jiawei Zhang, Shiyu Zhang, Xi Complex Variables Analysis of PDEs Differential Geometry In this paper, we show the regularity and uniqueness of the twisted conical Kähler-Ricci flow running from a positive closed current with zero Lelong number, which extends the regularizing property of the smooth twisted Kähler-Ricci flow, known as Guedj-Zeriahi's existence theorem and Di Nezza-Lu's uniqueness theorem, to the conical singularity case. |
| title | Regularizing property of the twisted conical Kähler-Ricci flow |
| topic | Complex Variables Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2406.08778 |