Brauer groups of genus zero extensions of number fields

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dc.creatorSonn, Jack
dc.creatorSwallow, John
dc.date2003-02-02
dc.date.accessioned2026-07-07T06:21:06Z
dc.date.available2026-07-07T06:21:06Z
dc.descriptionWe determine the isomorphism class of the Brauer groups of certain nonrational genus zero extensions of number fields. In particular, for all genus zero extensions E of the rational numbers Q that are split by Q(\sqrt{2}), Br(E) is isomorphic to Br(Q(t)).
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0302019
dc.identifierhttp://arxiv.org/abs/math/0302019
dc.identifierTrans. Amer. Math. Soc. 357 (2005), no. 7, 2723--2738
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95497
dc.subjectRings and Algebras
dc.subjectNumber Theory
dc.subject16K50; 12G05
dc.titleBrauer groups of genus zero extensions of number fields
dc.typetext

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