Relative uniform $K$-stability over models implies existence of extremal metrics
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913014190440448 |
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| author | Hashimoto, Yoshinori |
| author_facet | Hashimoto, Yoshinori |
| contents | We prove that an extremal metric on a polarised smooth complex projective variety exists if it is $\mathbb{G}$-uniformly $K$-stable relative to the extremal torus over models, extending a result due to Chi Li for constant scalar curvature Kähler metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02360 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relative uniform $K$-stability over models implies existence of extremal metrics Hashimoto, Yoshinori Differential Geometry Algebraic Geometry 53C55 (Primary), 32Q26 (Secondary) We prove that an extremal metric on a polarised smooth complex projective variety exists if it is $\mathbb{G}$-uniformly $K$-stable relative to the extremal torus over models, extending a result due to Chi Li for constant scalar curvature Kähler metrics. |
| title | Relative uniform $K$-stability over models implies existence of extremal metrics |
| topic | Differential Geometry Algebraic Geometry 53C55 (Primary), 32Q26 (Secondary) |
| url | https://arxiv.org/abs/2506.02360 |