Arias de Reyna Domínguez, SaraGajda, Wojciech J.Petersen, Sebastian2016-10-132016-10-132013-02Arias de Reyna Domínguez, S., Gajda, W.J. y Petersen, S. (2013). Big monodromy theorem for abelian varieties over finitely generated fields. Journal of Pure and Applied Algebra, 217 (2), 218-229.0022-4049http://hdl.handle.net/11441/47408An abelian variety over a field K is said to have big monodromy, if the image of the Galois representation on ℓ-torsion points, for almost all primes ℓ, contains the full symplectic group. We prove that all abelian varieties over a finitely generated field K with the endomorphism ring Z and semistable reduction of toric dimension one at a place of the base field K have big monodromy. We make no assumption on the transcendence degree or on the characteristic of K. This generalizes a recent result of Chris Hall.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Abelian varietyGalois representationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jpaa.2012.06.010