[Finitude à la Kimura de fibrations en quadriques sur des courbes lisses]
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.
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@article{CRMATH_2017__355_6_628_0,
author = {Gon\c{c}alo Tabuada},
title = {Kimura-finiteness of quadric fibrations over smooth curves},
journal = {Comptes Rendus. Math\'ematique},
pages = {628--632},
publisher = {Elsevier},
volume = {355},
number = {6},
year = {2017},
doi = {10.1016/j.crma.2017.05.006},
language = {en},
}
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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