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Zero-cycles on a twisted Cayley plane

V. Petrov·N. Semenov·K. Zainoulline
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Abstract

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.

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V. Petrov, N. Semenov, K. Zainoulline. 2005-09-22. Zero-cycles on a twisted Cayley plane. https://arxiv.org/abs/math/0508200

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