Ramification of Tate modules for rank 2 Drinfeld modules

2022/04/28 by Asayama, Takuya, Huang, Maozhou
#11F80 #11G09 #11S15 #11S20 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2204.13275

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.

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