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Isotropy of Virtual Albert Forms over Function Fields of Quadrics

Isotropy of Virtual Albert Forms over Function Fields of Quadrics

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}$F\left({\sqrt {d \pm \varphi } } \right).$\end{document} We give a complete description of …