Geodesic
On the motive of a commutative algebraic group
Documenta mathematica, Tome 20 (2015), pp. 807-858.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove a canonical Künneth decomposition for the motive of a commutative group scheme over a field. Moreover, we show that this decomposition behaves under the group law just as in cohomology. We also deduce applications of the decomposition to the existence of a weight filtration, computation of any Weil cohomology theory and study of 1-motives.
Classification : 14C15, 14L10, 19E15, 14F20, 14K99
Keywords: Voevodsky motives, semiabelian varieties, künneth decomposition, 1-motives, kimura finiteness 
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     title = {On the motive of a commutative algebraic group},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a18/}
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Ancona, Giuseppe; Enright-Ward, Stephen; Huber, Annette. On the motive of a commutative algebraic group. Documenta mathematica, Tome 20 (2015), pp. 807-858. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a18/