The behavior of quadratic and differential forms under function field extensions in characteristic two.

DOI10.1016/S0021-8693(02)00568-9zbMath1168.11308OpenAlexW1999793491MaRDI QIDQ1867317

Ricardo Baeza, Roberto Aravire

Publication date: 2 April 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00568-9

zbMATH Keywords

function fieldsdifferential formsquadratic formsbilinear formsWitt groupsdegree of quadratic formsgeneric splitting fields of quadratic forms

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Modules of differentials (13N05)

Related Items (15)

Isotropy of quadratic forms over the function field of a quadric in characteristic 2 ⋮ Transfer for Kato-Milne cohomology over purely inseparable extensions (with an appendix by Diksha Mukhija) ⋮ Annihilators of differential forms over fields of characteristic \(p\) ⋮ Quadratic forms and Pfister neighbors in characteristic 2 ⋮ The behavior of differential forms under purely inseparable extensions ⋮ The unramified Witt group of hyperelliptic curves in characteristic 2 ⋮ Graded Witt kernels of the compositum of multiquadratic extensions with the function fields of Pfister forms ⋮ The behavior of differential, quadratic and bilinear forms under purely inseparable field extensions ⋮ The graded Witt group kernel of biquadratic extensions in characteristic two ⋮ Good bilinear and quadratic forms of height 2 in characteristic 2. ⋮ Differential forms and bilinear forms under field extensions ⋮ Witt kernels of quadratic forms for purely inseparable multiquadratic extensions in characteristic 2 ⋮ Cohomological kernels of purely inseparable field extensions ⋮ Cohomological kernels of mixed extensions in characteristic 2 ⋮ Results on Witt kernels of quadratic forms for multi-quadratic extensions

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