Isotropy over function fields of Pfister forms

DOI10.1016/j.jalgebra.2012.03.025zbMath1288.11034OpenAlexW2120894144MaRDI QIDQ1931679

James O'Shea

Publication date: 15 January 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10197/3616

zbMATH Keywords

Pfister formfunction field of a quadratic formHasse numberessential dimensionminimal formexcellencegeneralized Pfister neighbor

Mathematics Subject Classification ID

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

Cites Work

• Minimal forms with respect to function fields of conics
• Essential dimension of quadrics
• Geometric methods in the algebraic theory of quadratic forms. Proceedings of the summer school, Lens, France, June 2000
• Function fields of Pfister neighbours
• Isotropy of quadratic forms over the function field of a quadric
• Twisted Pfister forms
• On the nonexcellence of field extensions \(F(\pi)/F\)
• SIMPLE ALGEBRAS AND QUADRATIC FORMS
• Generic Splitting of Quadratic Forms, I
• Generic Splitting of Quadratic Forms, II
• On 6-dimensional quadratic forms isotropic over the function field of a quadric
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