On the boundary motive of a Shimura variety

Mathematics – Algebraic Geometry

Scientific paper

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38 pages; accepted for publication in Comp. Math

Scientific paper

10.1112/S0010437X07002898

Applying the main results of math.AG/0408295, we identify the motives
occurring as cones in the co-localization and localization filtrations of the
boundary motive of a Shimura variety.

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