The Transfer Ideal of Quadratic Forms and a Hasse Norm Theorem Mod Squares

DOI10.2307/2001391zbMath0681.10015OpenAlexW4248812473MaRDI QIDQ4729860

David B. Leep, Adrian R. Wadsworth

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001391

zbMATH Keywords

local-global principlemultiquadratic extensionsWitt ring of quadratic formstransfer idealHasse norm theorem mod squaresScharlau transfer map

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Quadratic forms over global rings and fields (11E12) Cyclotomic extensions (11R18) General binary quadratic forms (11E16) Quadratic forms over local rings and fields (11E08)

Related Items (8)

Quartic polynomials and the Hasse norm theorem modulo squares ⋮ On trace forms of étale algebras and field extensions ⋮ Examples of non-rational varieties of adjoint groups ⋮ On the scaled trace forms and the transfer of a number field extension ⋮ The Haase norm theorem mod squares ⋮ Splitting varieties for triple Massey products ⋮ Levels of division algebras ⋮ Algebraic systems of quadratic forms of number fields and function fields

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