论文标题
Drinfeld模块的扭转点在有限生成的功能字段的大型代数扩展上
Torsion points of Drinfeld modules over large algebraic extensions of finitely generated function fields
论文作者
论文摘要
盖尔（Geyer）和贾登（Jarden）证明了在固定场在固定场上定义的扭转点的几个结果，这些曲线通过其代数闭合的质量场上有限生成的磁场的绝对galois组中有限的许多元素。作为这些结果的类似物，本文研究了固定场在固定场上定义的扭转点，这是通过其代数关闭中有限生成的功能场的绝对Galois组有限的许多元素。我们证明了一些与Geyer和Jarden相似的结果。
Geyer and Jarden proved several results for torsion points of elliptic curves defined over the fixed field by finitely many elements in the absolute Galois group of a finitely generated field over the prime field in its algebraic closure. As an analogue of these results, this paper studies torsion points of Drinfeld modules defined over the fixed field by finitely many elements in the absolute Galois group of a finitely generated function field in its algebraic closure. We prove some results which are similar to those of Geyer and Jarden.
