Automorphism groups of $\mathbb{P}^1$-bundles over geometrically ruled surfaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911692823199744 |
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| author | Fong, Pascal |
| author_facet | Fong, Pascal |
| contents | We classify the pairs $(X,π)$, where $π\colon X\to S$ is a $\mathbb{P}^1$-bundle over a non-rational geometrically ruled surface $S$ and $\mathrm{Aut}^\circ(X)$ is relatively maximal, i.e., maximal with respect to the inclusion in the group $\mathrm{Bir}(X/S)$. The results hold over any algebraically closed field of characteristic zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19597 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Automorphism groups of $\mathbb{P}^1$-bundles over geometrically ruled surfaces Fong, Pascal Algebraic Geometry 14E07, 14E30, 14J26, 14J30, 14J50, 14L30 We classify the pairs $(X,π)$, where $π\colon X\to S$ is a $\mathbb{P}^1$-bundle over a non-rational geometrically ruled surface $S$ and $\mathrm{Aut}^\circ(X)$ is relatively maximal, i.e., maximal with respect to the inclusion in the group $\mathrm{Bir}(X/S)$. The results hold over any algebraically closed field of characteristic zero. |
| title | Automorphism groups of $\mathbb{P}^1$-bundles over geometrically ruled surfaces |
| topic | Algebraic Geometry 14E07, 14E30, 14J26, 14J30, 14J50, 14L30 |
| url | https://arxiv.org/abs/2310.19597 |