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Structure de poids à la Bondarko sur les motifs de Beilinson

Published online by Cambridge University Press:  29 July 2011

David Hébert*
Affiliation:
LAGA - UMR CNRS 7539, Institut Galilée - Université Paris 13, 99 avenue J.-B. Clément, 93430 Villetaneuse, France (email: [email protected])
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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.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2011

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