On the computation of endomorphism rings of abelian surfaces over finite fields
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916650314366976 |
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| author | Anni, Samuele Bisson, Gaetan Iezzi, Annamaria García, Elisa Lorenzo Wesolowski, Benjamin |
| author_facet | Anni, Samuele Bisson, Gaetan Iezzi, Annamaria García, Elisa Lorenzo Wesolowski, Benjamin |
| contents | We study endomorphism rings of principally polarized abelian surfaces over finite fields from a computational viewpoint with a focus on exhaustiveness. In particular, we address the cases of non-ordinary and non-simple varieties. For each possible surface type, we survey known results and, whenever possible, provide improvements and missing results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08925 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the computation of endomorphism rings of abelian surfaces over finite fields Anni, Samuele Bisson, Gaetan Iezzi, Annamaria García, Elisa Lorenzo Wesolowski, Benjamin Number Theory Algebraic Geometry 11G07, 11G10, 11G15, 14H52, 14K02, 14K05, 14K10, 14K22 We study endomorphism rings of principally polarized abelian surfaces over finite fields from a computational viewpoint with a focus on exhaustiveness. In particular, we address the cases of non-ordinary and non-simple varieties. For each possible surface type, we survey known results and, whenever possible, provide improvements and missing results. |
| title | On the computation of endomorphism rings of abelian surfaces over finite fields |
| topic | Number Theory Algebraic Geometry 11G07, 11G10, 11G15, 14H52, 14K02, 14K05, 14K10, 14K22 |
| url | https://arxiv.org/abs/2503.08925 |