On the interior motive of certain Shimura varieties : the case of Picard varieties

Abstract

The aim of this article is the construction of the interior motive of a Picard variety. Those are Shimura varieties of PEL type. Our result is an application of the strategy developed by Wildeshaus to construct a Hecke-invariant motive whose realizations correspond to interior cohomology.

Cited by in corpus (3)

• On the intersection motive of certain Shimura varieties: the case of Siegel threefolds
• Chow motives without projectivity, II
• Motivic Intersection Complex of Certain Shimura varieties