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Keywords:
Witt invariant; Brauer group; Brauer-Wall group; Witt equivalence
Witt invariant; Brauer group; Brauer-Wall group; Witt equivalence
Summary:
The starting point of this note is the observation that the local condition used in the notion of a Hilbert-symbol equivalence and a quaternion-symbol equivalence — once it is expressed in terms of the Witt invariant — admits a natural generalisation. In this paper we show that for global function fields as well as the formally real function fields over a real closed field all the resulting equivalences coincide.
References:
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