Unramified cohomology of classifying varieties for exceptional simply connected groups
Algebraic Geometry
2009-05-23 v1
Abstract
Let BG be a classifying variety for an exceptional simple simply connected algebraic group G. We compute the degree 3 unramified Galois cohomology of BG with values in Q/Z(2) over an arbitrary field F. Combined with a paper by Merkurjev, this completes the computation of these cohomology groups for G semisimple simply connected over all fields. These computations provide another example of a simple simply connected group G such that BG is not stably rational.
Keywords
Cite
@article{arxiv.math/0304270,
title = {Unramified cohomology of classifying varieties for exceptional simply connected groups},
author = {R. Skip Garibaldi},
journal= {arXiv preprint arXiv:math/0304270},
year = {2009}
}