Ramification of Tate modules for rank $2$ Drinfeld modules

Takuya Asayama, Maozhou Huang

Published 2022-04-28Version 1

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 conjecture under a certain limited situation.