Algebraic subgroups of the plane Cremona group over a perfect field
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866916515645751296 |
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| author | Schneider, Julia Zimmermann, Susanna |
| author_facet | Schneider, Julia Zimmermann, Susanna |
| contents | We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group. We classify the maximal groups, and their subgroups of rational points, up to conjugacy by a birational map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_03688 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Algebraic subgroups of the plane Cremona group over a perfect field Schneider, Julia Zimmermann, Susanna Algebraic Geometry 14E07, 14J50, 14L99, 20G40 We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group. We classify the maximal groups, and their subgroups of rational points, up to conjugacy by a birational map. |
| title | Algebraic subgroups of the plane Cremona group over a perfect field |
| topic | Algebraic Geometry 14E07, 14J50, 14L99, 20G40 |
| url | https://arxiv.org/abs/2008.03688 |