Masser–Wüstholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank

Autorzy

Dane publikacji

  • DOI: 10.4064/aa230628-20-11

  • Tom 215

  • Zeszyt 1

  • Czasopismo: Acta Arithmetica

  • Strony: 33-41

  • Data publikacji online: 05.05.2024

Liczba wyświetleń: 0

Liczba pobrań: 0

Abstrakt

We give an explicit bound on the irreducibility of the mod-$\mathfrak l$ Galois representation for Drinfeld modules of arbitrary rank without complex multiplication. This is a function field analogue of the Masser–Wüstholz bound on irreducibility of the mod-$\ell $ Galois representation for elliptic curves over a number field.