Ramification of Tate modules for rank $2$ Drinfeld modules
Number Theory
2024-09-17 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2204.13275,
title = {Ramification of Tate modules for rank $2$ Drinfeld modules},
author = {Takuya Asayama and Maozhou Huang},
journal= {arXiv preprint arXiv:2204.13275},
year = {2024}
}
Comments
32 pages