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- W2000339815 abstract "Abstract Let F be a field and G⊂ SL n,F an algebraic closed subgroup of SL n,F . Denote by BG the factor variety SL n /G . The stable F-birational type of BG is independent on the choice of an embedding G⊂ SL n . The points of BG classify principal homogeneous spaces of G. We compute the degree three unramified Galois cohomology with values in Q / Z (2) of the function field of BG for all classical semisimple simply connected groups G. As an application, examples of groups G (of types A n and D n) with stably non-rational over F varieties BG are given." @default.
- W2000339815 created "2016-06-24" @default.
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- W2000339815 date "2002-01-01" @default.
- W2000339815 modified "2023-09-26" @default.
- W2000339815 title "Unramified cohomology of classifying varieties for classical simply connected groups1" @default.
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- W2000339815 doi "https://doi.org/10.1016/s0012-9593(02)01097-2" @default.
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