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Weakly isotropic quadratic forms under field extensions

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Publication:641871
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DOI10.1007/s00209-010-0719-0zbMath1260.11024OpenAlexW2162362307MaRDI QIDQ641871

Claus Schubert

Publication date: 25 October 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0719-0


zbMATH Keywords

\(u-\)invariantalmost isotropicstability of a space of orderings


Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81)


Related Items

Semiorderings and stability index under field extensions



Cites Work

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  • Lectures on formally real fields
  • On some Hasse principles over formally real fields
  • Spaces of orderings and abstract real spectra
  • Going up of the \(u\)-invariant over formally real fields
  • Totally positive extensions and weakly isotropic forms
  • Minimal weakly isotropic forms
  • Reduced Stability of the Witt Ring of a Field and its Pythagorean Closure
  • Remarks on the Pythagoras and Hasse number of real fields.
  • Almost Isotropic Quadratic Forms
  • Dimensions of anisotropic indefinite quadratic forms. I
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