论文标题
等级1 Drinfeld模块和班级野外生成的模块化不变
Modular Invariant of Rank 1 Drinfeld Modules and Class Field Generation
论文作者
论文摘要
介绍并使用等级1 Drinfeld模块的模块化不变式,以制定并证明对全局函数字段的Weber-Fueter定理的精确类似物。证明中的主要成分是Shimura的“全局功能”字段复杂乘法的主要定理的版本,此处也证明了这一点。
The modular invariant of rank 1 Drinfeld modules is introduced and used to formulate and prove an exact analog of the Weber-Fueter theorem for global function fields. The main ingredient in the proof is a version of Shimura's Main Theorem of Complex Multiplication for global function fields, which is also proved here.