no. 21-22
Algebraic Geometry
Pure motives with representable Chow groups
[Motifs purs dont les groupes de Chow sont représentables]

Présenté par : Christophe Soulé

Vial, Charles1
1 DPMMS, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB, UK
Comptes Rendus. Mathématique, Tome 348 (2010) no. 21-22, pp. 1191-1195.

Soit k un corps algébriquement clos. Nous démontrons, en nous servant de la théorie des motifs birationnels développée par Kahn et Sujatha, qu'un motif de Chow défini sur k dont les groupes de Chow sont tous représentables (au sens de la définition 2.1) appartient à la sous-catégorie pleine et épaisse des motifs engendrée par les motifs de courbes tordus.

Let k be an algebraically closed field. We show using Kahn's and Sujatha's theory of birational motives that a Chow motive over k whose Chow groups are all representable (in the sense of Definition 2.1) belongs to the full and thick subcategory of motives generated by the twisted motives of curves.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.10.017
Vial, Charles 1

1 DPMMS, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB, UK 
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Vial, Charles. Pure motives with representable Chow groups. Comptes Rendus. Mathématique, Tome 348 (2010) no. 21-22, pp. 1191-1195. doi : 10.1016/j.crma.2010.10.017. http://www.numdam.org/articles/10.1016/j.crma.2010.10.017/

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