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Structure de poids à la Bondarko sur les motifs de Beilinson

Part of: (Co)homology theory Abelian categories General theory of categories and functors

Published online by Cambridge University Press:  29 July 2011

David Hébert
David Hébert*
Affiliation:
LAGA - UMR CNRS 7539, Institut Galilée - Université Paris 13, 99 avenue J.-B. Clément, 93430 Villetaneuse, France (email: hebert@math.univ-paris13.fr)
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Abstract

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Bondarko defines and studies the notion of weight structure and he shows that there exists a weight structure over the category of Voevodsky motives with rational coefficients (over a field of characteristic 0). In this paper we extend this weight structure to the category of Beilinson motives (for any scheme of finite type over a base scheme which is excellent of dimension at most two) introduced and studied by Cisinsky and Déglise. We also check the weight exactness of the Grothendieck operations.

Keywords

weight structuresweight filtrationsChow motivesBeilinson motivesGrothendieck operations

MSC classification

Secondary: 14F42: Motivic cohomology; motivic homotopy theory 18A22: Special properties of functors (faithful, full, etc.) 18E30: Derived categories, triangulated categories
Type
Research Article
Information
Compositio Mathematica , Volume 147 , Issue 5 , September 2011 , pp. 1447 - 1462
Copyright
Copyright © Foundation Compositio Mathematica 2011

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