Zero-cycles on a twisted Cayley plane
Algebraic Geometry
2008-03-07 v2 Group Theory
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.
Cite
@article{arxiv.math/0508200,
title = {Zero-cycles on a twisted Cayley plane},
author = {V. Petrov and N. Semenov and K. Zainoulline},
journal= {arXiv preprint arXiv:math/0508200},
year = {2008}
}
Comments
15 pages