[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 = {Tabuada, Gon\c{c}alo},
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},
url = {http://www.numdam.org/articles/10.1016/j.crma.2017.05.006/}
}
TY - JOUR AU - Tabuada, Gonçalo TI - Kimura-finiteness of quadric fibrations over smooth curves JO - Comptes Rendus. Mathématique PY - 2017 SP - 628 EP - 632 VL - 355 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.05.006/ DO - 10.1016/j.crma.2017.05.006 LA - en ID - CRMATH_2017__355_6_628_0 ER -
%0 Journal Article %A Tabuada, Gonçalo %T Kimura-finiteness of quadric fibrations over smooth curves %J Comptes Rendus. Mathématique %D 2017 %P 628-632 %V 355 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.05.006/ %R 10.1016/j.crma.2017.05.006 %G en %F CRMATH_2017__355_6_628_0
Tabuada, Gonçalo. Kimura-finiteness of quadric fibrations over smooth curves. Comptes Rendus. Mathématique, Tome 355 (2017) no. 6, pp. 628-632. doi : 10.1016/j.crma.2017.05.006. http://www.numdam.org/articles/10.1016/j.crma.2017.05.006/
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