K-stability of Fano 3-folds in the World of Null-A
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912364409913344 |
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| author | Abban, Hamid Cheltsov, Ivan Kishimoto, Takashi Mangolte, Frederic |
| author_facet | Abban, Hamid Cheltsov, Ivan Kishimoto, Takashi Mangolte, Frederic |
| contents | A variety is said to satisfy Condition (A) if every finite abelian subgroup of its automorphism group has a fixed point. We show that a smooth Fano 3-fold not satisfying Condition (A) is K-polystable unless it is contained in eight exceptional deformation families (seven of them consists of one smooth member, and one of them has one-parameter moduli). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04330 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | K-stability of Fano 3-folds in the World of Null-A Abban, Hamid Cheltsov, Ivan Kishimoto, Takashi Mangolte, Frederic Algebraic Geometry A variety is said to satisfy Condition (A) if every finite abelian subgroup of its automorphism group has a fixed point. We show that a smooth Fano 3-fold not satisfying Condition (A) is K-polystable unless it is contained in eight exceptional deformation families (seven of them consists of one smooth member, and one of them has one-parameter moduli). |
| title | K-stability of Fano 3-folds in the World of Null-A |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2505.04330 |