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arXiv · 1411.5930

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

J. Wildeshaus
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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.

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J. Wildeshaus. 2014-11-21. On the interior motive of certain Shimura varieties: the case of Picard surfaces. https://doi.org/10.1007/s00229-015-0747-5

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