Geodesic
Decompositions of motives of generalized Severi-Brauer varieties
Documenta mathematica, Tome 17 (2012), pp. 151-165
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Let p be a positive prime number and X be a Severi-Brauer variety of a central division algebra D of degree pn, with n≥1. We describe all shifts of the motive of X in the complete motivic decomposition of a variety Y, which splits over the function field of X and satisfies the nilpotence principle. In particular, we prove the motivic decomposability of generalized Severi-Brauer varieties X(pm,D) of right ideals in D of reduced dimension pm,m=0,1,ldots,n−1, except the cases p=2,m=1 and m=0(foranyprimep), where motivic indecomposability was proven by Nikita Karpenko.
DOI : 10.4171/dm/364
Classification : 14C25, 14L17
Mots-clés : central simple algebras, Chow groups and motives, generalized Severi-Brauer varieties 
@article{10_4171_dm_364,
     author = {Maksim Zhykhovich},
     title = {Decompositions of motives of generalized {Severi-Brauer} varieties},
     journal = {Documenta mathematica},
     pages = {151--165},
     year = {2012},
     volume = {17},
     doi = {10.4171/dm/364},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/364/}
}
TY  - JOUR
AU  - Maksim Zhykhovich
TI  - Decompositions of motives of generalized Severi-Brauer varieties
JO  - Documenta mathematica
PY  - 2012
SP  - 151
EP  - 165
VL  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/364/
DO  - 10.4171/dm/364
ID  - 10_4171_dm_364
ER  - 
%0 Journal Article
%A Maksim Zhykhovich
%T Decompositions of motives of generalized Severi-Brauer varieties
%J Documenta mathematica
%D 2012
%P 151-165
%V 17
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/364/
%R 10.4171/dm/364
%F 10_4171_dm_364
Maksim Zhykhovich. Decompositions of motives of generalized Severi-Brauer varieties. Documenta mathematica, Tome 17 (2012), pp. 151-165. doi: 10.4171/dm/364

Cité par Sources :