Totally positive extensions and weakly isotropic forms

dc.contributor.authorBecher, Karim Johannes
dc.date.accessioned2011-03-22T17:45:11Zdeu
dc.date.available2011-03-22T17:45:11Zdeu
dc.date.issued2006deu
dc.description.abstractThe aim of this article is to analyse a new field invariant, relevant to (formally) real fields, defined as the supremum of the dimensions of all anisotropic, weakly isotropic quadratic forms over the field. This invariant is compared with the classical u-invariant and with the Hasse number. Furthermore, in order to be able to obtain examples of fields where these invariants take certain prescribed values, totally positive field extensions are studied.eng
dc.description.versionpublished
dc.format.mimetypeapplication/pdfdeu
dc.identifier.citationFirst publ. in: Manuscripta Mathematica 120 (2006), 1, pp. 83-90deu
dc.identifier.doi10.1007/s00229-006-0628-z
dc.identifier.ppn332741567deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/601
dc.language.isoengdeu
dc.legacy.dateIssued2010deu
dc.rightsterms-of-usedeu
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dc.subject.ddc510deu
dc.subject.msc12D15deu
dc.subject.msc11E81deu
dc.subject.msc11E04deu
dc.titleTotally positive extensions and weakly isotropic formseng
dc.typeJOURNAL_ARTICLEdeu
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  year={2006},
  doi={10.1007/s00229-006-0628-z},
  title={Totally positive extensions and weakly isotropic forms},
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  volume={120},
  journal={Manuscripta Mathematica},
  pages={83--90},
  author={Becher, Karim Johannes}
}
kops.citation.iso690BECHER, Karim Johannes, 2006. Totally positive extensions and weakly isotropic forms. In: Manuscripta Mathematica. 2006, 120(1), pp. 83-90. Available under: doi: 10.1007/s00229-006-0628-zdeu
kops.citation.iso690BECHER, Karim Johannes, 2006. Totally positive extensions and weakly isotropic forms. In: Manuscripta Mathematica. 2006, 120(1), pp. 83-90. Available under: doi: 10.1007/s00229-006-0628-zeng
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kops.sourcefield.plainManuscripta Mathematica. 2006, 120(1), pp. 83-90. Available under: doi: 10.1007/s00229-006-0628-zeng
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