Geodesic
Matching local Witt invariants
Communications in Mathematics, Tome 13 (2005) no. 1, pp. 29-34 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 11E10, 11E81, 14H05, 14P05, 16K50
Keywords: Witt invariant; Brauer group; Brauer-Wall group; Witt equivalence 
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Koprowski, Przemysław. Matching local Witt invariants. Communications in Mathematics, Tome 13 (2005) no. 1, pp. 29-34. http://geodesic.mathdoc.fr/item/COMIM_2005_13_1_a3/

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