# Surjectivity of Galois representations associated with quadratic Q-curves

1 Équipe Théorie des Nombres
IMB - Institut de Mathématiques de Bordeaux
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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Preprints, Working Papers, ...

Cited literature [30 references]

https://hal.archives-ouvertes.fr/hal-00801781
Contributor : Samuel Le Fourn <>
Submitted on : Tuesday, December 19, 2017 - 5:35:48 PM
Last modification on : Thursday, January 11, 2018 - 6:26:36 AM

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### Identifiers

• HAL Id : hal-00801781, version 1
• ARXIV : 1212.4713

### Citation

Samuel Le Fourn. Surjectivity of Galois representations associated with quadratic Q-curves. 2013. ⟨hal-00801781⟩

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