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Minimal weakly isotropic forms

Becher, Karim Johannes

In: Mathematische Zeitschrift, 2006, vol. 252, no. 1, p. 91-102

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    Titre
    • Minimal weakly isotropic forms
    Auteur
    • Becher, Karim Johannes. École Polytechnique Fédérale de Lausanne, SB IMB CSAG, MA C3 595, Station 8, 1015, Lausanne, CH, Switzerland
    Type de document
    • Postprint
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:322407
    Summary
    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