$\mathfrak A_5$-equivariant geometry of quadric threefolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911106252931072 |
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| author | Pinardin, Antoine Zhang, Zhijia |
| author_facet | Pinardin, Antoine Zhang, Zhijia |
| contents | We classify $G$-Mori fibre spaces equivariantly birational to smooth quadric threefolds with fixed-point free actions of the alternating group $G=\mathfrak A_5$. We deduce that such quadric threefolds are $G$-solid and the $G$-actions on them are not projectively linearizable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11496 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\mathfrak A_5$-equivariant geometry of quadric threefolds Pinardin, Antoine Zhang, Zhijia Algebraic Geometry We classify $G$-Mori fibre spaces equivariantly birational to smooth quadric threefolds with fixed-point free actions of the alternating group $G=\mathfrak A_5$. We deduce that such quadric threefolds are $G$-solid and the $G$-actions on them are not projectively linearizable. |
| title | $\mathfrak A_5$-equivariant geometry of quadric threefolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.11496 |