On the interior motive of certain Shimura varieties: the case of Hilbert-Blumenthal varieties

Details On the interior motive of certain Shimura varieties: the case of Hilbert-Blumenthal varieties On the interior motive of certain Shimura varieties: the case of Hilbert-Blumenthal varieties

2009-06-23

arxiv.org/abs/0906.4239v3

Mathematics

Algebraic Geometry

31 pages; accepted for publication in Int. Math. Res. Not. IMRN

Scientific paper

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.

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