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On
the intersection motive of certain Shimura varieties: the
case of Siegel threefolds
Jörg Wildeshaus |
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Vol. 4 (2019), No. 4, 525–559
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Abstract |
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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. |
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Keywords
Siegel threefolds, weight structures, intersection motive,
motives for Siegel modular forms
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Mathematical Subject Classification 2010
Primary: 14G35
Secondary: 11F32, 11F46, 14C25, 14F20, 14F25
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Milestones
Received: 5 October 2017
Revised: 22 March 2019
Accepted: 16 April 2019
Published: 10 January 2020
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Authors |
| Jörg Wildeshaus | |
| Laboratoire Analyse, Géométrie et
Applications Université Paris 13, Sorbonne Paris Cité Villetaneuse France |
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