Geodesic
Zero Cycles on a Twisted Cayley Plane
Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 114-124

Voir la notice de l'article provenant de la source Cambridge

DOI

Let $k$ be a field of characteristic not 2, 3. Let $G$ be an exceptional simple algebraic group over $k$ of type ${{\text{F}}_{4}},$ $^{1}{{\text{E}}_{6}}$ or ${{\text{E}}_{7}}$ with trivial Tits algebras. Let $X$ be a projective $G$ -homogeneous variety. If $G$ is of type ${{\text{E}}_{7}},$ we assume in addition that the respective parabolic subgroup is of type ${{\text{P}}_{7}}.$ The main result of the paper says that the degree map on the group of zero cycles of $X$ is injective.
DOI : 10.4153/CMB-2008-013-2
Mots-clés : 20G15, 14C15 
Petrov, V.; Semenov, N.; Zainoulline, K. Zero Cycles on a Twisted Cayley Plane. Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 114-124. doi: 10.4153/CMB-2008-013-2
@article{10_4153_CMB_2008_013_2,
     author = {Petrov, V. and Semenov, N. and Zainoulline, K.},
     title = {Zero {Cycles} on a {Twisted} {Cayley} {Plane}},
     journal = {Canadian mathematical bulletin},
     pages = {114--124},
     year = {2008},
     volume = {51},
     number = {1},
     doi = {10.4153/CMB-2008-013-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-013-2/}
}
TY  - JOUR
AU  - Petrov, V.
AU  - Semenov, N.
AU  - Zainoulline, K.
TI  - Zero Cycles on a Twisted Cayley Plane
JO  - Canadian mathematical bulletin
PY  - 2008
SP  - 114
EP  - 124
VL  - 51
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-013-2/
DO  - 10.4153/CMB-2008-013-2
ID  - 10_4153_CMB_2008_013_2
ER  - 
%0 Journal Article
%A Petrov, V.
%A Semenov, N.
%A Zainoulline, K.
%T Zero Cycles on a Twisted Cayley Plane
%J Canadian mathematical bulletin
%D 2008
%P 114-124
%V 51
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-013-2/
%R 10.4153/CMB-2008-013-2
%F 10_4153_CMB_2008_013_2

Cité par Sources :