Surjectivity of Galois representations associated with quadratic Q-curves

Abstract

We prove in this paper an uniform surjectivity result for Galois representations associated with non-CM $\mathbb{Q}$-curves over imaginary quadratic fields, using various tools for the proof, such as Mazur's method, isogeny theorems, Runge's method and analytic estimates of sums of $L$-functions.

arXiv comment31 pages, minor corrections

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