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

Abstract

The purpose of this article is to construct a Hecke-equivariant Chow motive whose realizations equal interior (or intersection) cohomology of Picard surfaces with regular algebraic coefficients. As a consequence, we are able to define Grothendieck motives for Picard modular forms.

34 pages; accepted for publication in manuscripta mathematica. arXiv admin note: text overlap with arXiv:0906.4239

References in corpus (1)

• The boundary motive: definition and basic properties

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