### A direct construction of the Rost motive, by Nikita A. Karpenko

Using Rost's nilpotence theorem for endomorphisms of
a motive of a projective quadric, we give a short and
direct construction of the motivic decomposition of a
norm quadric obtained by Rost and used in Voevodsky's
proof of the Milnor conjecture.

Nikita A. Karpenko <karpenk@math.uni-muenster.de>