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Witt equivalence of global fields. II: Relative quadratic extensions. (English) Zbl 0812.11025
Up to isomorphism the Witt ring \(W(K)\) of a number field is uniquely determined by the following finite set \(S(K)\) of invariants: degree of \(K\), level of \(K\), number of real places, number of dyadic places, degrees and levels of the dyadic completions. This paper continues the author’s paper in Commun. Algebra 19, 1125-1149 (1991; Zbl 0724.11020). It investigates the relative quadratic extensions \(E/K\).
Reviewer: A.Pfister (Mainz)

MSC:
11E12 Quadratic forms over global rings and fields
11E81 Algebraic theory of quadratic forms; Witt groups and rings
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