Geodesic
On the motive of a commutative algebraic group
Documenta mathematica, Tome 20 (2015), pp. 807-858
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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.
DOI : 10.4171/dm/506
Classification : 14C15, 14F20, 14K99, 14L10, 19E15
Mots-clés : Voevodsky motives, semiabelian varieties, künneth decomposition, 1-motives, kimura finiteness 
@article{10_4171_dm_506,
     author = {Stephen Enright-Ward and Giuseppe Ancona and Annette Huber},
     title = {On the motive of a commutative algebraic group},
     journal = {Documenta mathematica},
     pages = {807--858},
     year = {2015},
     volume = {20},
     doi = {10.4171/dm/506},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/506/}
}
TY  - JOUR
AU  - Stephen Enright-Ward
AU  - Giuseppe Ancona
AU  - Annette Huber
TI  - On the motive of a commutative algebraic group
JO  - Documenta mathematica
PY  - 2015
SP  - 807
EP  - 858
VL  - 20
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/506/
DO  - 10.4171/dm/506
ID  - 10_4171_dm_506
ER  - 
%0 Journal Article
%A Stephen Enright-Ward
%A Giuseppe Ancona
%A Annette Huber
%T On the motive of a commutative algebraic group
%J Documenta mathematica
%D 2015
%P 807-858
%V 20
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/506/
%R 10.4171/dm/506
%F 10_4171_dm_506
Stephen Enright-Ward; Giuseppe Ancona; Annette Huber. On the motive of a commutative algebraic group. Documenta mathematica, Tome 20 (2015), pp. 807-858. doi: 10.4171/dm/506

Cité par Sources :