论文标题
在有限场上的普通阿贝尔品种的计算基础扩展
Computing base extensions of ordinary abelian varieties over finite fields
论文作者
论文摘要
我们研究了使用DELIGNE引入的模块理论描述在有限场上定义的普通阿巴利亚品种的基础场扩展。作为应用程序，我们提供了算法来确定此类品种的定义最小视野，并确定两个这样的品种是否是曲折。
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.
