Surjectivity of Galois representations associated with quadratic Q-curves

Samuel Le Fourn

doi:10.1007/s00208-015-1269-x

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arXiv · 1212.4713

Surjectivity of Galois representations associated with quadratic Q-curves

Samuel Le Fourn

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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.

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Samuel Le Fourn. 2013-03-07. Surjectivity of Galois representations associated with quadratic Q-curves. https://doi.org/10.1007/s00208-015-1269-x

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