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arxiv: math/0302019 · v1 · submitted 2003-02-02 · 🧮 math.RA · math.NT

Brauer groups of genus zero extensions of number fields

Jack Sonn , John Swallow This is my paper
classification 🧮 math.RA math.NT
keywords extensionsgenuszerobrauerfieldsgroupsnumbercertain
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We 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)).

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