Minimal weakly isotropic forms
Becher, Karim Johannes
In: Mathematische Zeitschrift, 2006, vol. 252, no. 1, p. 91-102
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- In this article weakly isotropic quadratic forms over a (formally) real field are studied. Conditions on the field are given which imply that every weakly isotropic form over that field has a weakly isotropic subform of small dimension. Fields over which every quadratic form can be decomposed into an orthogonal sum of a strongly anisotropic form and a torsion form are characterized in different ways