$δ$-invariants of log Fano planes
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908382935384064 |
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| author | Denisova, Elena |
| author_facet | Denisova, Elena |
| contents | We compute the $δ$-invariant for pairs $(\mathbb{P}^2, λC_d)$, where $C_d$ is a plane curve of degree $d \leq 4$. These computations provide new examples of $K$-stable and $K$-semistable log Fano pairs, and contribute to the study of $K$-stability of log Fano varieties via the Abban-Zhuang method, which reduces higher-dimensional problems to the surface case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22528 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $δ$-invariants of log Fano planes Denisova, Elena Algebraic Geometry 14J45, 32Q20, 14E05, 14J17 We compute the $δ$-invariant for pairs $(\mathbb{P}^2, λC_d)$, where $C_d$ is a plane curve of degree $d \leq 4$. These computations provide new examples of $K$-stable and $K$-semistable log Fano pairs, and contribute to the study of $K$-stability of log Fano varieties via the Abban-Zhuang method, which reduces higher-dimensional problems to the surface case. |
| title | $δ$-invariants of log Fano planes |
| topic | Algebraic Geometry 14J45, 32Q20, 14E05, 14J17 |
| url | https://arxiv.org/abs/2505.22528 |