论文标题
订单上的模块，整体矩阵的结合类别和有限田的Abelian品种
Modules over orders, conjugacy classes of integral matrices, and abelian varieties over finite fields
论文作者
论文摘要
我们给出了一种算法，以计算具有给定最小和特征多项式的半圣方积分矩阵的共轭类别的代表。我们还提供了算法来计算$ \ mathbb {f} _q $ - 异态性类别的Abelian品种的类别，上面是有限字段$ \ Mathbb {f} _q $，属于由Frobenius的特征性y $ h $ h $ h $是普通的或$ q $ q的frobenius，属于frobenius的特征性y $ h $是普通和$ q $ quse的frobenius notectionalial $ h $ h $是PRIMDY和$ Q $ h $ h $。
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.
