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Artículo
Large Galois images for Jacobian varieties of genus 3 curves
(Polish Academy of Sciences, Institute of Mathematics, 2016)
Given 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 ...
Capítulo de Libro
Galois representations and Galois groups over Q
(Springer, 2015)
In this paper we generalize results of P. Le Duff to genus n hyperelliptic curves. More precisely, let C/Q be a hyperelliptic genus n curve, let J(C) be the associated Jacobian variety and let ¯ρℓ : GQ → GSp(J(C)[ℓ]) be ...