Weil polynomials of abelian varieties over finite fields
Fuente:
arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908426552999936 |
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| author | Cerchia, Michael Liu, Zeyu Mocanu, Diana Yao, Haodong Ye, Jing |
| author_facet | Cerchia, Michael Liu, Zeyu Mocanu, Diana Yao, Haodong Ye, Jing |
| contents | In this paper, we investigate Weil polynomials and their relationship with isogeny classes of abelian varieties over finite fields. We give a necessary condition for a degree 12 polynomial with integer coefficients to be a Weil polynomial. Moreover, we provide explicit criteria that determine when a Weil polynomial of degree 14 occurs as the characteristic polynomial of a Frobenius endomorphism acting on an abelian variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13706 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weil polynomials of abelian varieties over finite fields Cerchia, Michael Liu, Zeyu Mocanu, Diana Yao, Haodong Ye, Jing Number Theory In this paper, we investigate Weil polynomials and their relationship with isogeny classes of abelian varieties over finite fields. We give a necessary condition for a degree 12 polynomial with integer coefficients to be a Weil polynomial. Moreover, we provide explicit criteria that determine when a Weil polynomial of degree 14 occurs as the characteristic polynomial of a Frobenius endomorphism acting on an abelian variety. |
| title | Weil polynomials of abelian varieties over finite fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2506.13706 |