Brauer groups of genus zero extensions of number fields
Rings and Algebras
2007-05-23 v1 Number Theory
Abstract
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)).
Cite
@article{arxiv.math/0302019,
title = {Brauer groups of genus zero extensions of number fields},
author = {Jack Sonn and John Swallow},
journal= {arXiv preprint arXiv:math/0302019},
year = {2007}
}
Comments
22 pages