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Hecke correspondences and Betti cohomology groups for smooth compactifications of Hilbert modular varieties of dimension $\leq 3$
We consider Betti cohomology groups of smooth toroidal compactifications of Hilbert modular varieties and representations of Hecke correspondences on them.We study absolute values and zeta functions of eigenvalues of those operators for varieties of dimension <--3.Our main results are Theorems 1N6 below.Notations and introduction.K" a totally real algebraic number field, …