Automorphism groups and linearizability of rational Fano conic bundle threefolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912816027402240 |
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| author | Abe, Shuto |
| author_facet | Abe, Shuto |
| contents | We generalize the equivariant intermediate Jacobian torsor obstruction over $\mathbb{C}$ to algebraically closed fields of characteristic zero. It is an obstruction to the (projective) linearizability problem of finite group actions on threefolds. In addition, we calculate automorphism groups of general smooth Fano threefolds of No. 2.18. As an application, we prove that a general smooth Fano threefold X of No. 2.18 is linearizable for its automorphism group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15042 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Automorphism groups and linearizability of rational Fano conic bundle threefolds Abe, Shuto Algebraic Geometry We generalize the equivariant intermediate Jacobian torsor obstruction over $\mathbb{C}$ to algebraically closed fields of characteristic zero. It is an obstruction to the (projective) linearizability problem of finite group actions on threefolds. In addition, we calculate automorphism groups of general smooth Fano threefolds of No. 2.18. As an application, we prove that a general smooth Fano threefold X of No. 2.18 is linearizable for its automorphism group. |
| title | Automorphism groups and linearizability of rational Fano conic bundle threefolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2506.15042 |