Hasse principles for quadratic forms over function fields

DOI10.1016/j.jalgebra.2023.04.007zbMath1527.11029arXiv2204.06368OpenAlexW4365517385MaRDI QIDQ6038525

Connor Cassady

Publication date: 2 May 2023

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

Full work available at URL: https://arxiv.org/abs/2204.06368

zbMATH Keywords

Galois cohomologyunramified cohomologyquadratic formPfister formHasse principlediscrete valuationfunction field extension

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Transcendental field extensions (12F20) Galois cohomology of linear algebraic groups (11E72) Valued fields (12J10) Complete rings, completion (13J10) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Cites Work

• Twisted Pfister forms
• Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• The u-invariant of p-adic function fields
• Spinor groups with good reduction
• Valued Fields
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