Singular Kähler-Einstein metrics and RCD spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916519429013504 |
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| author | Székelyhidi, Gábor |
| author_facet | Székelyhidi, Gábor |
| contents | We study Kähler-Einstein metrics on singular projective varieties. We show that under an approximation property with constant scalar curvature metrics, the metric completion of the smooth part is a non-collapsed RCD space, and is homeomorphic to the original variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10747 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singular Kähler-Einstein metrics and RCD spaces Székelyhidi, Gábor Differential Geometry 53C25 We study Kähler-Einstein metrics on singular projective varieties. We show that under an approximation property with constant scalar curvature metrics, the metric completion of the smooth part is a non-collapsed RCD space, and is homeomorphic to the original variety. |
| title | Singular Kähler-Einstein metrics and RCD spaces |
| topic | Differential Geometry 53C25 |
| url | https://arxiv.org/abs/2408.10747 |