Geometric Methods for Cohomological Invariants

We explain how to exploit Rost's theory of Chow groups with coefficients to carry some computations of cohomological invariants. In particular, we use the idea of the «stratification method» introduced by Vezzosi. We recover a number of known results, with very different proofs. We obtain some new information on spin groups.

2000 Mathematics Subject Classification:

Keywords and Phrases: cohomological invariants, algebraic cycles.

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