Ramification of Tate modules for rank $2$ Drinfeld modules

Autor:	Asayama, Takuya, Huang, Maozhou
Rok vydání:	2022
Předmět:	Mathematics - Number Theory 11G09 11S15 11S20 11F80
Druh dokumentu:	Working Paper
Popis:	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. Comment: 32 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.13275 Zobrazit plný text záznamu View this record from Arxiv