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Ramification of Tate modules for rank $2$ Drinfeld modules

Published 28 Apr 2022 in math.NT | (2204.13275v3)

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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Authors (2)

  1. Takuya Asayama 
  2. Maozhou Huang 

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