Minimal weakly isotropic forms |
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Authors: | Karim Johannes Becher |
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Affiliation: | (1) école Polytechnique Fédérale de Lausanne, SB IMB CSAG, MA C3 595, Station 8, CH, 1015 Lausanne, Switzerland |
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Abstract: | 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. |
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Keywords: | 11E04 11E81 12D15 |
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