Cohomological invariants and R-triviality of adjoint classical groups

Berhuy, Grégory;Monsurrò, Marina;Tignol, Jean-Pierre
(2004) Mathematische Zeitschrift — Vol. 248, n° 2, p. 313-323 (2004)

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  • Berhuy, GrégoryEcole Polytechnique Fédérale de Lausanne
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  • Monsurrò, MarinaEcole Polytechnique Fédérale de Lausanne
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Abstract
Using a cohomological obstruction, we construct examples of absolutely simple adjoint classical groups of type 2A_n with n equivalent to 3 mod 4, C_n or 1D_n with n equivalent to 0 mod 4, which are not R-trivial hence not stably rational.
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Berhuy, G., Monsurrò, M., & Tignol, J.-P. (2004). Cohomological invariants and R-triviality of adjoint classical groups. Mathematische Zeitschrift, 248(2), 313-323. https://doi.org/10.1007/s00209-003-0611-2 (Original work published 2004)