Minimal weakly isotropic forms

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2006
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Zusammenfassung

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.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
quadratic form, strongly anisotropic, Pythagoras number, field invariants, SAP-field, local-global, principle, weakly isotropic, real field
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Zitieren
ISO 690BECHER, Karim Johannes, 2006. Minimal weakly isotropic forms
BibTex
@unpublished{Becher2006Minim-627,
  year={2006},
  title={Minimal weakly isotropic forms},
  author={Becher, Karim Johannes},
  note={Published verison in: Mathematische Zeitschrift ; 252 (2006), 1. - pp. 91-102}
}
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Published verison in: Mathematische Zeitschrift ; 252 (2006), 1. - pp. 91-102
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