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 Zero-cycles on a twisted Cayley plane


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This is an essentially extended version of the preprint dated by August 2005 this includes now the varieties of types F 4, E 6 and E 7. Let k be a field of characteristic not 2 and 3. Let G be an exceptional simple algebraic group of type F 4, inner type E 6 or E 7 with trivial Tits algebras. Let X be a projective G-homogeneous variety. If G is of type E 7 we assume in addition that the respective parabolic subgroup is of type P 7. The main result of the paper says that the degree map on the group of zero cycles of X is injective.



Author: V. Petrov; N. Semenov; K. Zainoulline

Source: https://archive.org/



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