Some criteria for stably birational equivalence of quadratic forms

DOI10.1016/j.jalgebra.2022.10.030zbMath1506.11047OpenAlexW4281387673MaRDI QIDQ2099281

Sylvain Roussey

Publication date: 23 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.10.030

zbMATH Keywords

quadratic formsbirational equivalence

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Clifford algebras, spinors (15A66) Transcendental field extensions (12F20) Quadratic spaces; Clifford algebras (11E88) Forms and linear algebraic groups (11E99) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

• Multiples of Pfister forms
• Function fields of quadratic forms
• Chow groups of zero cycles on pencils of quadrics
• Quadratic forms becoming isotropic on an extension
• Isotropy of quadratic forms over the function field of a quadric
• Quadratic forms and the u-invariant. I
• Isotropy of certain quadratic forms of dimensions 7 and 8 over the function field of a quadric
• Isotropy of Virtual Albert Forms over Function Fields of Quadrics
• Similarity of Quadratic Forms and Isomorphism of Their Function Fields
• Generic Splitting of Quadratic Forms, II
• Formes Quadratiques de Dimension 6
• On 6-dimensional quadratic forms isotropic over the function field of a quadric
• Specialization of quadratic and symmetric, bilinear forms, and a norm theorem
• On quadratic forms of height two and a theorem of Wadsworth
• Birational equivalence of n-Pfister neighbors
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