On a conjecture of Le Bruyn

dc.creatorCortella, Anne
dc.creatorKunyavskii, Boris
dc.date1998-03-23
dc.date.accessioned2026-07-07T05:24:10Z
dc.date.available2026-07-07T05:24:10Z
dc.descriptionGiven a generic field extension F/k of degree n>3 (i.e. the Galois group of the normal closure of F is isomorphic to the symmetric group $S_n$), we prove that the norm torus, defined as the kernel of the norm map $N:R_{F/k}(G_m)\to\G_m$, is not rational over k.
dc.description4 pages, AMSTeX
dc.identifierhttps://arxiv.org/abs/math/9803103
dc.identifierhttp://arxiv.org/abs/math/9803103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76730
dc.subjectAlgebraic Geometry
dc.titleOn a conjecture of Le Bruyn
dc.typetext

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