Isotropy of Virtual Albert Forms over Function Fields of Quadrics

DOI10.1002/mana.19992060104zbMath0957.11020OpenAlexW1980059246MaRDI QIDQ3836213

Nikita A. Karpenko, Oleg T. Izhboldin

Publication date: 15 February 2000

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19992060104

zbMATH Keywords

Galois cohomologyquadratic formsClifford algebrafunction field of a quadratic formfunction field of a Severi-Brauer varietyGrothendieck ring of a smooth variety

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Algebraic cycles (14C25) Finite-dimensional division rings (16K20) (K)-theory of schemes (19E08) Galois cohomology (11R34)

Related Items

Isotropy of six-dimensional quadratic forms over function fields of quadrics ⋮ 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 ⋮ Hyperbolicity of certain involutions over the function field of a quadric ⋮ Birational equivalence of n-Pfister neighbors

Cites Work

• Isotropy of six-dimensional quadratic forms over function fields of quadrics
• On 6-dimensional quadratic forms isotropic over the function field of a quadric
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