论文标题
非kummer扩展的功能场属理论
Function field genus theory for non-Kummer extensions
论文作者
论文摘要
在本文中，我们首先获得有限的Abelian非Kummer $ L $的属领域 - 全球合理功能字段的扩展。然后，使用该属的属场的属场的属属属的属属的两个阿贝尔扩展的属，具有相对质量的全球合理函数场的属性等于其各自的属领域的综合和我们先前的结果，我们推断出全球合理函数场的有限阿贝尔扩展的一般表达。
In this paper we first obtain the genus field of a finite abelian non-Kummer $l$--extension of a global rational function field. Then, using that the genus field of a composite of two abelian extensions of a global rational function field with relatively prime degrees is equal to the composite of their respective genus fields and our previous results, we deduce the general expression of the genus field of a finite abelian extension of a global rational function field.
