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

2017/05/09 by Cloître, Guillaume
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.03235

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.

Related

• The motivic Hecke algebra for PEL Shimura varieties
• Abelian motives and Shimura varieties in nonzero characteristic
• Shimura varieties
• Motives of hypersurfaces of very small degree
• Motives of unitary and orthogonal homogeneous varieties