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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 $…
math.NT2002
Arithmetic Hilbert modular varieties and forms for
Mladen Dimitrov, Jacques Tilouine
We recall first the analytic theory of the Hilbert modular varieties of level and their compactifications. We construct arithmetic toroidal compact…
math.NT2002
Arithmetic compactifications of the Hilbert modular varieties and Hilbert modular forms for
Mladen Dimitrov
We construct local charts for the ramified cusps of the Hilbert modular variety of level . This allows us, following closely M. Rapoport and C.-L. C…