Ramification of Tate modules for rank $2$ Drinfeld modules

Author name not available (Why is that?), Takuya Asayama

Publication date: 28 April 2022

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.

Mathematics Subject Classification ID

Galois theory (11S20) Galois representations (11F80) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Ramification and extension theory (11S15)

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