%0 Journal Article %T On the interior motive of certain Shimura varieties: the case of Hilbert-Blumenthal varieties %A J. Wildeshaus %J Mathematics %D 2009 %I arXiv %R 10.1093/imrn/rnr109 %X The purpose of this article is to construct a Hecke-equivariant Chow motive whose realizations equal interior (or intersection) cohomology of Hilbert-Blumenthal varieties with non-constant algebraic coefficients. %U http://arxiv.org/abs/0906.4239v4