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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.NT1999
Several variable p-adic families of Siegel-Hilbert cusp eigensystems and their Galois representations
Jacques Tilouine, Eric Urban
Let F be a totally real field and G=GSp(4)_{/F}. In this paper, we show under a weak assumption that, given a Hecke eigensystem lambda which is (p,P)-ordinary for a fixed parabolic…