Motivic construction of cohomological invariants
نویسنده
چکیده
The norm varieties and the varieties with special correspondences play a major role in the proof of the Bloch-Kato Conjecture by M. Rost and V. Voevodsky. In the present paper we show that a variety which possesses a special correspondence is a norm variety. As an unexpected application we give a positive answer to a problem of J.-P. Serre about groups of type E8 over Q. Apart from this we include the proof of the Voevodsky conjecture about νn-varieties which is due to A. Vishik. This result plays an important role in our proofs.
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