Boundedness of log Fano cone singularities and discreteness of local volumes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914918361464832 |
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| author | Xu, Chenyang Zhuang, Ziquan |
| author_facet | Xu, Chenyang Zhuang, Ziquan |
| contents | We prove that in any fixed dimension, K-semistable log Fano cone singularities whose volumes are bounded from below by a fixed positive number form a bounded set. As a consequence, we show that the set of local volumes of klt singularities of a fixed dimension has zero as the only accumulation point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17134 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundedness of log Fano cone singularities and discreteness of local volumes Xu, Chenyang Zhuang, Ziquan Algebraic Geometry Commutative Algebra Differential Geometry We prove that in any fixed dimension, K-semistable log Fano cone singularities whose volumes are bounded from below by a fixed positive number form a bounded set. As a consequence, we show that the set of local volumes of klt singularities of a fixed dimension has zero as the only accumulation point. |
| title | Boundedness of log Fano cone singularities and discreteness of local volumes |
| topic | Algebraic Geometry Commutative Algebra Differential Geometry |
| url | https://arxiv.org/abs/2404.17134 |