Brauer groups of genus zero extensions of number fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95497We 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)).22 pagesRings and AlgebrasNumber Theory16K50; 12G05Brauer groups of genus zero extensions of number fieldstext