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Abstract
We construct a Hecke-equivariant Chow motive whose realizations equal
intersection cohomology of Siegel threefolds with regular algebraic coefficients. As a
consequence, we are able to define Grothendieck motives for Siegel modular
forms.
Keywords
Siegel threefolds, weight structures, intersection motive,
motives for Siegel modular forms
Mathematical Subject Classification 2010
Primary: 14G35
Secondary: 11F32, 11F46, 14C25, 14F20, 14F25
Milestones
Received: 5 October 2017
Revised: 22 March 2019
Accepted: 16 April 2019
Published: 10 January 2020
