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Isotropy over function fields of Pfister forms

✍ Scribed by James OʼShea

Book ID
113675509
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
205 KB
Volume
361
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

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## Abstract Let __F__ be a field of characteristic different from 2 and let ϕ be a virtual Albert form over __F__, i.e., an anisotropic 6‐dimensional quadratic form over __F__ which is still anisotropic over the field \documentclass{article}\pagestyle{empty}\begin{document}$F\left({\sqrt {d \pm \va

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Let F be a field of characteristic different from 2 and let φ be an anisotropic six-dimensional quadratic form over F. We study the last open cases in the problem of describing the quadratic forms ψ such that φ becomes isotropic over the function field F ψ .

Function Fields of Pfister Neighbors
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✍ H. Ahmad; J. Ohm 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 585 KB

A quadratic form \(Q\) is called a special Pfister neighbor if \(Q\) is similar to a form of the shape \(P_{0} \perp a P_{1}\), where \(P_{0}\) is Pfister, \(a \in k^{*}\), and \(P_{1}\) is a nonzero subform of \(P_{0}\). The Pfister form \(P_{0} \perp a P_{0}\), which is uniquely determined by \(Q\