Motivic decomposition of anisotropic varieties of type F<sub>4</sub>into generalized Rost motives
Motivic decomposition of anisotropic varieties of type F<sub>4</sub>into generalized Rost motives
Abstract We prove that the Chow motive of an anisotropic projective homogeneous variety of type F 4 is isomorphic to the direct sum of twisted copies of a generalized Rost motive. In particular, we provide an explicit construction of a generalized Rost motive for a generically splitting variety for a …