Labeling abelian varieties over finite fields
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912513952579584 |
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| author | Costa, Edgar Dupuy, Taylor Marseglia, Stefano Roe, David Vincent, Christelle |
| author_facet | Costa, Edgar Dupuy, Taylor Marseglia, Stefano Roe, David Vincent, Christelle |
| contents | We describe a deterministic process to associate a practical, permanent label to isomorphism classes of abelian varieties defined over finite fields with commutative endomorphism algebra as long as they are ordinary or defined over a prime field. In the ordinary case, we also provide labels for the polarizations they admit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17012 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Labeling abelian varieties over finite fields Costa, Edgar Dupuy, Taylor Marseglia, Stefano Roe, David Vincent, Christelle Number Theory Algebraic Geometry 16H10, 16H20, 11Y40, 11R54, 13H10, 14H20, 11C20, 15B36, 14K15 We describe a deterministic process to associate a practical, permanent label to isomorphism classes of abelian varieties defined over finite fields with commutative endomorphism algebra as long as they are ordinary or defined over a prime field. In the ordinary case, we also provide labels for the polarizations they admit. |
| title | Labeling abelian varieties over finite fields |
| topic | Number Theory Algebraic Geometry 16H10, 16H20, 11Y40, 11R54, 13H10, 14H20, 11C20, 15B36, 14K15 |
| url | https://arxiv.org/abs/2501.17012 |