On the boundary motive of a Shimura variety

Abstract

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.

38 pages; accepted for publication in Comp. Math

Cited by in corpus (3)

• 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 Picard surfaces
• On the intersection motive of certain Shimura varieties: the case of Siegel threefolds