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Comptes Rendus Mathématique
Volume 347, n° 23-24
pages 1337-1342 (décembre 2009)
Doi : 10.1016/j.crma.2009.10.016
Received : 15 October 2008 ;  accepted : 14 October 2009
f -catégories, tours et motifs de Tate
f -categories, towers, and Tate motives
 

Jörg Wildeshaus 1
LAGA, UMR 7539, Institut Galilée, université Paris 13, avenue Jean-Baptiste-Clément, 93430 Villetaneuse, France 

Résumé

Le but de cette Note est de donner une preuve simple de l’énoncé suivant : sur un corps algébrique sur  , la catégorie triangulée des motifs de Tate est équivalente à la catégorie dérivée bornée de son coeur (Théorème 1.3). Pour citer cet article : J. Wildeshaus, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
Abstract

The aim of this Note is to give a simple proof of the following fact: the triangulated category of Tate motives over a field k is equivalent to the bounded derived category of its heart, provided that k is algebraic over   (Theorem 1.3). To cite this article: J. Wildeshaus, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

The full text of this article is available in PDF format.
1  Membre du projet No. ANR-07-BLAN-0142 « Méthodes à la Voevodsky, motifs mixtes et géométrie d’Arakelov » de l’Agence nationale de la recherche.


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