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A Note on Quadratic Forms and the u-invariant
Published online by Cambridge University Press: 20 November 2018
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The u-invariant of a field F, u = u(F), is defined to be the maximum of the dimensions of anisotropic quadratic forms over F. If F is a non-formally real field with a finite number q of square classes then it is known that u ≦ q. The purpose of this note is to give some necessary and sufficient conditions for equality in terms of the structure of the Witt ring of F.
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- Copyright © Canadian Mathematical Society 1974
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