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

2023/03/22 by Chien‐Hua Chen, Chen, Chien-Hua
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2303.12399

openalex publication_date 2023/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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