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

Chien-Hua Chen

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arXiv · 2303.12399

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

Chien-Hua Chen

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Abstract

In this paper, we give an explicit bound on the irreducibility of mod-$\mathfrak{l}$ 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-$\ell$ Galois representation for elliptic curves over number field.

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Chien-Hua Chen. 2023-03-22. Masser-W\"ustholz bound for reducibility of Galois representations for Drinfeld modules of arbitrary rank. https://arxiv.org/abs/2303.12399

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