Geodesic
Motivic cohomology and unramified cohomology of quadrics
Journal of the European Mathematical Society, Tome 2 (2000) no. 2, pp. 145-177.

Voir la notice de l'article provenant de la source EMS Press

Abstract. This is the last of a series of three papers where we compute the unramified cohomology of quadrics in degree up to 4. Complete results were obtained in the two previous papers for quadrics of dimension h4 and S11. Here we deal with the remaining dimensions between 5 and 10. We also prove that the unramified cohomology of Pfister quadrics with divisible coefficients always comes from the ground field, and that the same holds for their unramified Witt rings. We apply these results to real quadrics. For most of the paper we have to assume that the ground field has characteristic 0, because we use Voevodsky's motivic cohomology.
DOI : 10.1007/s100970000015
Classification : 14-XX, 19-XX, 00-XX
Keywords: 
@article{JEMS_2000_2_2_a1,
     author = {Bruno Kahn and Ramdorai Sujatha},
     title = {Motivic cohomology and unramified cohomology of quadrics},
     journal = {Journal of the European Mathematical Society},
     pages = {145--177},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {2000},
     doi = {10.1007/s100970000015},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s100970000015/}
}
TY  - JOUR
AU  - Bruno Kahn
AU  - Ramdorai Sujatha
TI  - Motivic cohomology and unramified cohomology of quadrics
JO  - Journal of the European Mathematical Society
PY  - 2000
SP  - 145
EP  - 177
VL  - 2
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s100970000015/
DO  - 10.1007/s100970000015
ID  - JEMS_2000_2_2_a1
ER  - 
%0 Journal Article
%A Bruno Kahn
%A Ramdorai Sujatha
%T Motivic cohomology and unramified cohomology of quadrics
%J Journal of the European Mathematical Society
%D 2000
%P 145-177
%V 2
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s100970000015/
%R 10.1007/s100970000015
%F JEMS_2000_2_2_a1
Bruno Kahn; Ramdorai Sujatha. Motivic cohomology and unramified cohomology of quadrics. Journal of the European Mathematical Society, Tome 2 (2000) no. 2, pp. 145-177. doi : 10.1007/s100970000015. http://geodesic.mathdoc.fr/articles/10.1007/s100970000015/

Cité par Sources :