Zero Cycles on a Twisted Cayley Plane

Petrov, V. ; Semenov, N. ; Zainoulline, K.

Canadian mathematical bulletin, Tome 51 (2008) no. 1, pp. 114-124

Résumé

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.

Détail

DOI : 10.4153/CMB-2008-013-2

Mots-clés : 20G15, 14C15

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