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Cohomological invariants and R-triviality of adjoint classical groups

Cohomological invariants and R-triviality of adjoint classical groups
Cohomological invariants and R-triviality of adjoint classical groups
Using a cohomological obstruction, we construct examples of absolutely simple adjoint classical groups of type 2An with n ? 3 mod4, Cn or 1Dn with n ? 0 mod 4, which are not R-trivial hence not stably rational.
0025-5874
313-323
Berhuy, Grégory
3d8146f6-19cf-411b-92a2-cd0c2129ec73
Monsurrò, Marina
ce140eea-ef6c-4277-b9f9-cb41b71a9895
Tignol, Jean-Pierre
1384330b-f9f5-406c-baba-e8f1be0c5bc7
Berhuy, Grégory
3d8146f6-19cf-411b-92a2-cd0c2129ec73
Monsurrò, Marina
ce140eea-ef6c-4277-b9f9-cb41b71a9895
Tignol, Jean-Pierre
1384330b-f9f5-406c-baba-e8f1be0c5bc7

Berhuy, Grégory, Monsurrò, Marina and Tignol, Jean-Pierre (2004) Cohomological invariants and R-triviality of adjoint classical groups. Mathematische Zeitschrift, 248 (2), 313-323. (doi:10.1007/s00209-003-0611-2).

Record type: Article

Abstract

Using a cohomological obstruction, we construct examples of absolutely simple adjoint classical groups of type 2An with n ? 3 mod4, Cn or 1Dn with n ? 0 mod 4, which are not R-trivial hence not stably rational.

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Published date: 2004

Identifiers

Local EPrints ID: 38411
URI: https://eprints.soton.ac.uk/id/eprint/38411
ISSN: 0025-5874
PURE UUID: cee99619-b35c-4d49-a192-84c9f2e395a4

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Date deposited: 08 Jun 2006
Last modified: 15 Jul 2019 19:03

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