G. Berhuy, M. Monsurro, J.-P. Tignol: Cohomological invariants and R-triviality of adjoint classical groups

gregory.berhuy@epfl.ch, marina.monsurro@epfl.ch, tignol@math.ucl.ac.be

Submission: 2002, Jul 3

Using a cohomological obstruction, we construct examples of absolutely simple adjoint classical groups of various types which are not R-trivial hence not stably rational.

2000 Mathematics Subject Classification: 11E57, 20G15

Keywords and Phrases: classical groups, stable rationality, trace forms, similitudes of hermitian forms

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