18 citations · 29 across the 14 of their papers we have counts for
16 papers
Locally cyclic extensions with Galois group
Sara Arias-de-Reyna, Joachim König
Using Galois representations attached to elliptic curves, we construct Galois extensions of with group in which all decomposition groups are cyclic. This is…
Deformation rings and images of Galois representations
Gebhard Böckle, Sara Arias-de-Reyna
Let be a connected reductive almost simple group over the Witt ring for a finite field of characteristic . Let and be complet…
Galois families of modular forms and application to weight one
Sara Arias-de-Reyna, François Legrand, Gabor Wiese
We introduce Galois families of modular forms. They are a new kind of family coming from Galois representations of the absolute Galois groups of rational function fields over the r…
Automorphy of in the self-dual case
Sara Arias-de-Reyna, Luis Dieulefait, Josu Pérez
In this paper we establish a new case of Langlands functoriality. More precisely, we prove that the tensor product of the compatible system of Galois representations attached to a…
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…