Resumen de Zero Cycles on a Twisted Cayley Plane

V. Petrov, . Semenov, Kirill Zainoulline

• Let k be a field of characteristic not 2,3. Let G be an exceptional simple algebraic group over k of type F4, 1E6 or E7 with trivial Tits algebras. Let X be a projective G-homogeneous variety. If G is of type E7, we assume in addition that the respective parabolic subgroup is of type P7. The main result of the paper says that the degree map on the group of zero cycles of X is injective.