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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.00054 |
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| _version_ | 1866918268526133248 |
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| author | Zheng, Renpeng |
| author_facet | Zheng, Renpeng |
| contents | We study the K-stability of $\mathbb{Q}$-Fano spherical varieties using compatible divisors. More precisely, if the $\mathbb{Q}$-Fano variety, with a reductive group action, has an open Borel subgroup orbit, then there is a unique anticanonical $\mathbb{Q}$-divisor computing the equivariant stability threshold. This $\mathbb{Q}$-divisor is invariant under the Borel subgroup action, and it characterizes the K-stability of a $\mathbb{Q}$-Fano spherical variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00054 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | K-stability of Q-Fano Spherical Varieties via Compatible Divisors Zheng, Renpeng Algebraic Geometry We study the K-stability of $\mathbb{Q}$-Fano spherical varieties using compatible divisors. More precisely, if the $\mathbb{Q}$-Fano variety, with a reductive group action, has an open Borel subgroup orbit, then there is a unique anticanonical $\mathbb{Q}$-divisor computing the equivariant stability threshold. This $\mathbb{Q}$-divisor is invariant under the Borel subgroup action, and it characterizes the K-stability of a $\mathbb{Q}$-Fano spherical variety. |
| title | K-stability of Q-Fano Spherical Varieties via Compatible Divisors |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2601.00054 |