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Abstract
We study the condition on a field that any triple of (bilinear) Pfister forms of
a given dimension are linked. This is a strengthening of the condition of
linkage investigated by Elman and Lam, which asks the same for pairs of
Pfister forms. In characteristic different from two this condition for triples of
2
Keywords
field, Milnor $K$-theory, symbol, linkage, bilinear Pfister
form, quadratic form, Hasse number, $u$-invariant
Mathematical Subject Classification 2010
Primary: 11E04, 11E81, 19D45
Milestones
Received: 14 September 2015
Revised: 12 October 2017
Accepted: 31 October 2017
Published: 16 July 2018
