Isotropy of certain quadratic forms of dimensions 7 and 8 over the function field of a quadric

DOI10.1215/S0012-7094-96-08516-6zbMath0865.11030MaRDI QIDQ2564682

Ahmed Laghribi

Publication date: 13 July 1997

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

anisotropic quadratic formisotropic quadratic formfunction field of quadric

Mathematics Subject Classification ID

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

Related Items (15)

Cohomological invariants for orthogonal involutions on degree 8 algebras ⋮ Formes Quadratiques de Dimension 6 ⋮ The \(J\)-invariant, Tits algebras and triality. ⋮ Cohomological Invariants of Central Simple Algebras with Involution ⋮ The Arason invariant and mod 2 algebraic cycles ⋮ Open problems on central simple algebras. ⋮ Characterization of minimal Pfister neighbors via Rost projectors ⋮ APPLICATIONS OF CLIFFORD ALGEBRAS TO INVOLUTIONS AND QUADRATIC FORMS ⋮ Similarity of quadratic forms and half-neighbors ⋮ Bilinear forms of dimension less than or equal to 5 and function fields of quadrics in characteristic 2 ⋮ Some criteria for stably birational equivalence of quadratic forms ⋮ Certain quadratic forms of dimension at most 6 and function fields of characteristic 2 ⋮ Isotropy of 8-dimensional quadratic forms over function fields of quadrics ⋮ Hyperbolicity of certain involutions over the function field of a quadric ⋮ Birational equivalence of n-Pfister neighbors

Cites Work

• Generic splitting fields of central simple algebras
• On quadratic forms isotropic over the function field of a conic
• The level of division algebras over local and global fields
• Cohomologische Invarianten quadratischer Formen
• A descent problem for quadratic forms
• Isotropy of quadratic forms over the function field of a quadric
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Pfister forms and \(K\)-theory of fields
• The Index of a Brauer Class on a Brauer-Severi Variety
• Similarity of Quadratic Forms and Isomorphism of Their Function Fields
• 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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