Function fields of quadratic forms

DOI10.1007/BF01218371zbMath0442.10013MaRDI QIDQ1143425

Robert W. Fitzgerald

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/173087

zbMATH Keywords

quadratic formkernelround formfunction field of projective varietymap on Witt ringsscalar multiple of Pfister form

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 (12)

Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics ⋮ Quadratic forms and Pfister neighbors in characteristic 2 ⋮ A descent problem for quadratic forms ⋮ On 6-dimensional quadratic forms isotropic over the function field of a quadric ⋮ Quadratic Forms of Height Two ⋮ Multiples of Pfister forms ⋮ Witt kernels of function field extensions ⋮ Embeddability of quadratic forms in Pfister forms ⋮ A BOUND FOR THE INDEX OF A QUADRATIC FORM AFTER SCALAR EXTENSION TO THE FUNCTION FIELD OF A QUADRIC ⋮ Similarity of quadratic forms and half-neighbors ⋮ Some criteria for stably birational equivalence of quadratic forms ⋮ The behavior of quadratic and differential forms under function field extensions in characteristic two.

Cites Work

• Witt kernels of function field extensions
• On multiples of round and Pfister forms
• Multiplikative quadratische Formen
• Pfister forms and \(K\)-theory of fields
• Generic Splitting of Quadratic Forms, I
• Generic Splitting of Quadratic Forms, II
• Specialization of quadratic and symmetric, bilinear forms, and a norm theorem
• Unnamed Item

This page was built for publication: Function fields of quadratic forms