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On the boundary motive of a Shimura variety

Published online by Cambridge University Press:  17 July 2007

Jörg Wildeshaus
Jörg Wildeshaus
Affiliation:
LAGA, Institut Galilée, Université Paris 13, Avenue Jean-Baptiste Clément, F-93430 Villetaneuse, France wildesh@math.univ-paris13.fr
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Abstract

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Applying the main results of the author's previous work (J. Wildeshaus, The boundary motive: definition and basic properties, Compositio Math. 142 (2006), 631–656), we identify the motives occurring as cones in the co-localization and localization filtrations of the boundary motive of a Shimura variety.

Keywords

boundary motivesShimura varietiestoroidal and Baily–Borel compactificationscompleted motives14G35 (primary)14F42 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 143 , Issue 4 , July 2007 , pp. 959 - 985
Copyright
Foundation Compositio Mathematica 2007