2016-10-132016-10-132016Arias de Reyna Domínguez, S., Armana, C., Karemaker, V., Rebolledo, M., Thomas, L. y Vila Oliva, N. (2016). Large Galois images for Jacobian varieties of genus 3 curves. Acta Arithmetica, 174 (4), 339-366.0065-10361730-6264http://hdl.handle.net/11441/47411Given a prime number ℓ ≥ 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois representation ρA,ℓ : GQ → GSp6 (Fℓ) attached to the ℓ-torsion of A is surjective. Any such variety A will be the Jacobian of a genus 3 curve over Q whose respective reductions at two auxiliary primes we prescribe to provide us with generators of Sp6 (Fℓ).application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Galois representationsAbelian varietiesGenus 3 curvesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.4064/aa8250-4-2016https://idus.us.es/xmlui/handle/11441/47411