Geometric methods for cohomological invariants

Details Geometric methods for cohomological invariants Geometric methods for cohomological invariants

2006-12-12

arxiv.org/abs/math/0612323v2

Mathematics

Algebraic Geometry

Accepted for publication in Documenta Mathematica

Scientific paper

We explain how to exploit Rost's theory of Chow groups with coefficients to carry some computations of cohomological invariants (i.e. characteristic classes for G-torsors in Galois cohomology, for an algebraic group G). 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..

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