K-semistability of log Fano cone singularities
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909567788515328 |
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| author | Liu, Yuchen Wu, Yueqiao |
| author_facet | Liu, Yuchen Wu, Yueqiao |
| contents | We give a non-Archimedean characterization of K-semistability of log Fano cone singularities, and show that it agrees with the definition originally defined by Collins--Székelyhidi. As an application, we show that to test K-semistability, it suffices to test special test configurations. We also show that special test configurations give rise to lc places of torus equivariant bounded complements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05189 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | K-semistability of log Fano cone singularities Liu, Yuchen Wu, Yueqiao Algebraic Geometry Differential Geometry We give a non-Archimedean characterization of K-semistability of log Fano cone singularities, and show that it agrees with the definition originally defined by Collins--Székelyhidi. As an application, we show that to test K-semistability, it suffices to test special test configurations. We also show that special test configurations give rise to lc places of torus equivariant bounded complements. |
| title | K-semistability of log Fano cone singularities |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2408.05189 |