Open Access
2018 Triple linkage
Karim Johannes Becher
Ann. K-Theory 3(3): 369-378 (2018). DOI: 10.2140/akt.2018.3.369

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 -fold Pfister forms is related to the Hasse number.

Citation

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Karim Johannes Becher. "Triple linkage." Ann. K-Theory 3 (3) 369 - 378, 2018. https://doi.org/10.2140/akt.2018.3.369

Information

Received: 14 September 2015; Revised: 12 October 2017; Accepted: 31 October 2017; Published: 2018
First available in Project Euclid: 24 July 2018

zbMATH: 06911671
MathSciNet: MR3830196
Digital Object Identifier: 10.2140/akt.2018.3.369

Subjects:
Primary: 11E04 , 11E81 , 19D45

Keywords: $u$-invariant , bilinear Pfister form , field , Hasse number , linkage , Milnor $K$-theory , quadratic form , symbol

Rights: Copyright © 2018 Mathematical Sciences Publishers

Vol.3 • No. 3 • 2018
MSP
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