Unramified cohomology of classifying varieties for exceptional simply connected groups

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dc.creatorGaribaldi, R. Skip
dc.date2003-04-18
dc.date.accessioned2026-07-07T13:17:14Z
dc.date.available2026-07-07T13:17:14Z
dc.descriptionLet 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.
dc.identifierhttps://arxiv.org/abs/math/0304270
dc.identifierhttp://arxiv.org/abs/math/0304270
dc.identifierTransactions of the American Mathematical Society 358 #1 (2006) 359-371
dc.identifierdoi:10.1090/S0002-9947-05-03676-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231048
dc.subjectAlgebraic Geometry
dc.subject11E76
dc.titleUnramified cohomology of classifying varieties for exceptional simply connected groups
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