Kimura-finiteness of quadric fibrations over smooth curves

Gonçalo Tabuada

doi:10.1016/j.crma.2017.05.006

Homological algebra/Algebraic geometry

Kimura-finiteness of quadric fibrations over smooth curves
[Finitude à la Kimura de fibrations en quadriques sur des courbes lisses]

Présenté par : Christophe Soulé

Gonçalo Tabuada ^1,^2,³

¹ Department of Mathematics, MIT, Cambridge, MA 02139, USA
² Departamento de Matemática, FCT, UNL, Portugal
³ Centro de Matemática e Aplicações (CMA), FCT, UNL, Portugal

Comptes Rendus. Mathématique, Volume 355 (2017) no. 6, pp. 628-632.

Résumé
Abstract

Utilisant la théorie récente des motifs non commutatifs, nous prouvons que le motif mixte de Voevodsky d'une fibration en quadriques sur une courbe lisse est fini au sens de Kimura.

Making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura-finite.

Reçu le : 2016-12-08
Accepté le : 2017-05-24
Publié le : 2017-06-01

DOI : 10.1016/j.crma.2017.05.006

Affiliations des auteurs :

Gonçalo Tabuada ^{1, 2, 3}

¹ Department of Mathematics, MIT, Cambridge, MA 02139, USA
² Departamento de Matemática, FCT, UNL, Portugal
³ Centro de Matemática e Aplicações (CMA), FCT, UNL, Portugal

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     title = {Kimura-finiteness of quadric fibrations over smooth curves},
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     pages = {628--632},
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     doi = {10.1016/j.crma.2017.05.006},
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Gonçalo Tabuada. Kimura-finiteness of quadric fibrations over smooth curves. Comptes Rendus. Mathématique, Volume 355 (2017) no. 6, pp. 628-632. doi : 10.1016/j.crma.2017.05.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.05.006/

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