3 citations · 3 across the 6 of their papers we have counts for
7 papers
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…
From potential modularity to modularity for integral Galois representations and rigid Calabi-Yau threefolds
Luis Dieulefait
We prove modularity for any irreducible crystalline -adic odd 2-dimensional Galois representation (with finite ramification set) unramified at 3 verifying an "ordinarity at 3…
Explicit determination of images of Galois representations attached to Hilbert modular forms
Luis Dieulefait, Mladen Dimitrov
In a previous article, the second author proved that the image of the Galois representation mod attached to a Hilbert modular newform is large or all but finitely many primes $…
Galois actions on Q-curves and Winding Quotients
Francesc Bars, Luis Dieulefait
We prove two "large images" results for the Galois representations attached to a degree Q-curve over a quadratic field : if is arbitrary, we prove maximality of the…
Galois characterization of Endoscopy for rational Siegel modular forms
Luis Dieulefait
We establish a relation between Galois reducibility and Endoscopy for genus 2 Siegel cusp forms which have rational eigenvalues and are unramified at 3
Solving diophantine equations x^4 + y^4 = q z^p
Luis Dieulefait
We give a method to solve generalized Fermat equations of type , for some prime values of and every prime bigger than 13. We illustrate the method by pro…