A valuative criterion of K-polystability
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909838155448320 |
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| author | Wang, Linsheng |
| author_facet | Wang, Linsheng |
| contents | For any log Fano pair with a torus action, we associate a computable invariant to it, such that the pair is (weighted) K-polystable if and only if this invariant is greater than one. As an application, we present examples of Fano varieties admitting $g$-solitons for any weight function $g$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06176 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A valuative criterion of K-polystability Wang, Linsheng Algebraic Geometry For any log Fano pair with a torus action, we associate a computable invariant to it, such that the pair is (weighted) K-polystable if and only if this invariant is greater than one. As an application, we present examples of Fano varieties admitting $g$-solitons for any weight function $g$. |
| title | A valuative criterion of K-polystability |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2406.06176 |