Open Access
2019 On the intersection motive of certain Shimura varieties: the case of Siegel threefolds
Jörg Wildeshaus
Ann. K-Theory 4(4): 525-559 (2019). DOI: 10.2140/akt.2019.4.525

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.

Citation

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Jörg Wildeshaus. "On the intersection motive of certain Shimura varieties: the case of Siegel threefolds." Ann. K-Theory 4 (4) 525 - 559, 2019. https://doi.org/10.2140/akt.2019.4.525

Information

Received: 5 October 2017; Revised: 22 March 2019; Accepted: 16 April 2019; Published: 2019
First available in Project Euclid: 20 March 2020

zbMATH: 07155160
MathSciNet: MR4050012
Digital Object Identifier: 10.2140/akt.2019.4.525

Subjects:
Primary: 14G35
Secondary: 11F32 , 11F46 , 14C25 , 14F20 , 14F25

Keywords: intersection motive , motives for Siegel modular forms , Siegel threefolds , weight structures

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.4 • No. 4 • 2019
MSP
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