Modules over orders, conjugacy classes of integral matrices, and abelian varieties over finite fields
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915174193037312 |
|---|---|
| author | Marseglia, Stefano |
| author_facet | Marseglia, Stefano |
| contents | We give an algorithm to compute representatives of the conjugacy classes of semisimple square integral matrices with given minimal and characteristic polynomials. We also give an algorithm to compute the $\mathbb{F}_q$-isomorphism classes of abelian varieties over a finite field $\mathbb{F}_q$ which belong to an isogeny class determined by a characteristic polynomial $h$ of Frobenius when $h$ is ordinary, or $q$ is prime and $h$ has no real roots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_05409 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Modules over orders, conjugacy classes of integral matrices, and abelian varieties over finite fields Marseglia, Stefano Number Theory Rings and Algebras 16H20, 11Y40, 15B36, 14K15 We give an algorithm to compute representatives of the conjugacy classes of semisimple square integral matrices with given minimal and characteristic polynomials. We also give an algorithm to compute the $\mathbb{F}_q$-isomorphism classes of abelian varieties over a finite field $\mathbb{F}_q$ which belong to an isogeny class determined by a characteristic polynomial $h$ of Frobenius when $h$ is ordinary, or $q$ is prime and $h$ has no real roots. |
| title | Modules over orders, conjugacy classes of integral matrices, and abelian varieties over finite fields |
| topic | Number Theory Rings and Algebras 16H20, 11Y40, 15B36, 14K15 |
| url | https://arxiv.org/abs/2208.05409 |