Computing base extensions of ordinary abelian varieties over finite fields
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866915174129074176 |
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| author | Marseglia, Stefano |
| author_facet | Marseglia, Stefano |
| contents | We study base field extensions of ordinary abelian varieties defined over finite fields using the module theoretic description introduced by Deligne. As applications we give algorithms to determine the minimal field of definition of such a variety and to determine whether two such varieties are twists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_09977 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Computing base extensions of ordinary abelian varieties over finite fields Marseglia, Stefano Algebraic Geometry Number Theory We study base field extensions of ordinary abelian varieties defined over finite fields using the module theoretic description introduced by Deligne. As applications we give algorithms to determine the minimal field of definition of such a variety and to determine whether two such varieties are twists. |
| title | Computing base extensions of ordinary abelian varieties over finite fields |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2003.09977 |