Formally real fields with prescribed invariants in the theory of quadratic forms

DOI10.1016/0019-3577(91)90042-6zbMath0734.11028OpenAlexW2007486426MaRDI QIDQ810565

E. A. M. Hornix

Publication date: 1991

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(91)90042-6

zbMATH Keywords

quadratic formsClifford algebrau-invariantdivision algebraexamples of formally real fieldsHasse numbers

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Forms over real fields (11E10)

Related Items (4)

Relations between invariants of formally real fields ⋮ The length and other invariants of a real field ⋮ Quadratic Forms ⋮ Pythagoras numbers of fields

Cites Work

• Classification theorems for quadratic forms over fields
• On some Hasse principles over formally real fields
• Fed-linked fields and formally real fields satisfying \(B_ 3\)
• Clifford division algebras and anisotropic quadratic forms: two counterexamples
• Hasse principles and the u-invariant over formally real fields
• Sums of squares of linear forms
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