Masser-W\"ustholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank

Abstract

In this paper, we give an explicit bound on the irreducibility of mod-l Galois representation for Drinfeld modules of arbitrary rank without complex multiplication. This is a function field analogue of Masser-W\"ustholz bound on irreducibility of mod- Galois representation for elliptic curves over number field.

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