Generalized Kummer surfaces over finite fields
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910113949810688 |
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| author | Rybakov, Sergey |
| author_facet | Rybakov, Sergey |
| contents | In this paper, we prove a refinement of the Katsura theorem on finite group actions on abelian surfaces such that the quotient is birational to a $K3$ surface. As an application, we compute traces of Frobenius on the Neron--Severi groups of supersingular generalized Kummer surfaces over finite fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00945 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Kummer surfaces over finite fields Rybakov, Sergey Algebraic Geometry In this paper, we prove a refinement of the Katsura theorem on finite group actions on abelian surfaces such that the quotient is birational to a $K3$ surface. As an application, we compute traces of Frobenius on the Neron--Severi groups of supersingular generalized Kummer surfaces over finite fields. |
| title | Generalized Kummer surfaces over finite fields |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2404.00945 |