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math.NT2004
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…
math.NT2004★ 3 cited
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…
math.NT2004
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 $…