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

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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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  1. LAGA, CNRS (UMR 7539), Sorbonne Paris Cité, Université Paris 13, 93430, Villetaneuse, France

    Jörg Wildeshaus

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  1. Jörg Wildeshaus
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Correspondence to Jörg Wildeshaus.

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Partially supported by the Agence Nationale de la Recherche, project “Régulateurs et formules explicites”.

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Wildeshaus, J. On the interior motive of certain Shimura varieties: the case of Picard surfaces. manuscripta math. 148, 351–377 (2015). https://doi.org/10.1007/s00229-015-0747-5

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