1 citations · 2 across the 5 of their papers we have counts for
6 papers
Large Galois images for Jacobian varieties of genus 3 curves
Sara Arias-de-Reyna, Cécile Armana, Valentijn Karemaker +3
Given a prime number l greater than or equal to 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois re…
Galois representations and Galois groups over Q
Sara Arias-de-Reyna, Cécile Armana, Valentijn Karemaker +3
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 and let J(C) be the associated Jacobian…
Tame Galois realizations of GSp_4(F_l) over Q
Sara Arias-de-Reyna, Núria Vila
In this paper we obtain realizations of the 4-dimensional general symplectic group over a prime field of characteristic as the Galois group of a tamely ramified Galois ext…
On the classification of geometric families of 4-dimensional Galois representations
Luis Dieulefait, Nuria Vila
We give a classification theorem for certain four-dimensional families of geometric -adic Galois representations attached to a pure motive. More precisely, we consider families…
Geometric families of 4-dimensional Galois representations with generically large images
Luis Dieulefait, Nuria Vila
We study compatible families of four-dimensional Galois representations constructed in the étale cohomology of a smooth projective variety. We prove a theorem asserting that the im…
On the images of modular and geometric three-dimensional Galois represetations
Luis Dieulefait, Nuria Vila
We address the problem of the determination of the images of three-dimensional geometric and modular Galois representations. In the modular case the existence of these representati…