论文标题
泰特(Tate)模块的后果$ 2 $ drinfeld模块
Ramification of Tate modules for rank $2$ Drinfeld modules
论文作者
论文摘要
在本文中,我们研究了由等级2德林菲尔德模块的划分点产生的函数场扩展的后果。某些等级2 Drinfeld模块的导体也被定义为椭圆曲线的类似物。这些导体的计算使我们能够在某些有限的情况下显示Szpiro的猜想的类似物。
In this paper, we study the ramification of extensions of a function field generated by division points of rank 2 Drinfeld modules. Also conductors of certain rank 2 Drinfeld modules are defined as analogues of those for elliptic curves. A calculation of these conductors allows us to show an analogue of Szpiro's conjecture under a certain limited situation.