Witt kernels of function field extensions

DOI10.2140/pjm.1983.109.89zbMath0486.10016OpenAlexW2046750733MaRDI QIDQ1164658

Robert W. Fitzgerald

Publication date: 1983

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pjm/1102720205

zbMATH Keywords

function field of projective varietyembeddable conservative formnon-hyperbolic quadratic formPfister idealsWitt kernel of field extension

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Witt groups of rings (19G12) Global ground fields in algebraic geometry (14G25)

Related Items

Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics ⋮ Formes Quadratiques de Dimension 6 ⋮ A descent problem for quadratic forms ⋮ On rational points of certain affine hypersurfaces ⋮ REPRESENTATIONS OF ALTERNATIVE CLIFFORD ALGEBRAS OF QUADRATIC FORMS ⋮ Quadratic Forms of Height Two ⋮ Function fields of quadratic forms ⋮ Certain properties of the tensor product of two Albert forms ⋮ Differential forms and bilinear forms under field extensions ⋮ Cohomological operations for the Brauer group and Witt kernels of a quartic field extension ⋮ Embeddability of quadratic forms in Pfister forms ⋮ Witt kernels of function field extensions in characteristic 2 ⋮ Similarity of quadratic forms and half-neighbors ⋮ Unramified cohomology of quadrics. II. ⋮ 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

Cites Work

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• Function fields of quadratic forms
• Über die Grade quadratischer Formen
• Conservative quadratic forms
• Function fields of Pfister forms
• Pfister ideals in Witt rings
• On some Hasse principles over formally real fields
• On the theory of quadratic forms over formally real fields
• Proof of Krull's intersection theorem for the Witt ring
• Generic Splitting of Quadratic Forms, I
• Structure of Witt rings, quotients of abelian group rings and orderings of fields
• Pfister forms and $K$-theory of fields
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields

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