The weak isotropy of quadratic forms over field extensions

DOI10.1007/s00229-014-0671-0zbMath1319.11021OpenAlexW2114308552MaRDI QIDQ403147

James O'Shea

Publication date: 29 August 2014

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10197/6343

zbMATH Keywords

quadratic formanisotropic forminadmissible numberweak isotropy index

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Forms over real fields (11E10)

Related Items (1)

Multiples of Pfister forms

Cites Work

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• Multiples of Pfister forms
• On multiples of round and Pfister forms
• Conservative quadratic forms
• Essential dimension of quadrics
• On the first Witt index of quadratic forms
• Isotropy of quadratic forms over the function field of a quadric
• Sums of values represented by a quadratic form
• Minimal weakly isotropic forms
• Generic Splitting of Quadratic Forms, I

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