Brauer groups of genus zero extensions of number fields

Details Brauer groups of genus zero extensions of number fields Brauer groups of genus zero extensions of number fields

2003-02-02

arxiv.org/abs/math/0302019v1

Trans. Amer. Math. Soc. 357 (2005), no. 7, 2723--2738

Mathematics

Rings and Algebras

22 pages

Scientific paper

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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