Groups acting on cubic surfaces in characteristic zero
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866916108768903168 |
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| author | Smith, Jonathan M. |
| author_facet | Smith, Jonathan M. |
| contents | For every field $k$ of characteristic zero, we determine the groups that act as automorphisms on a smooth cubic surface over $k$. We also determine the groups that act on $k$-rational, stably $k$-rational, or $k$-unirational smooth cubic surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15735 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Groups acting on cubic surfaces in characteristic zero Smith, Jonathan M. Algebraic Geometry 14J50, 14J45, 14E08 For every field $k$ of characteristic zero, we determine the groups that act as automorphisms on a smooth cubic surface over $k$. We also determine the groups that act on $k$-rational, stably $k$-rational, or $k$-unirational smooth cubic surfaces. |
| title | Groups acting on cubic surfaces in characteristic zero |
| topic | Algebraic Geometry 14J50, 14J45, 14E08 |
| url | https://arxiv.org/abs/2401.15735 |