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Keywords:
Brauer group; Brauer-Wall group; Witt equivalence
Brauer group; Brauer-Wall group; Witt equivalence
Summary:
We present criteria for a pair of maps to constitute a quaternion-symbol equivalence (or a Hilbert-symbol equivalence if we deal with global function fields) expressed in terms of vanishing of the Clifford invariant. In principle, we prove that a local condition of a quaternion-symbol equivalence can be transcribed from the Brauer group to the Brauer-Wall group.
References:
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