Indecomposable quadratic spaces over the affine plane
Let \(K\) be a field of characteristic \(\neq 2\) having an anisotropic quadratic space \(q\) of rank \(\geq 3\). The author proves that there exist infinitely many inequivalent indecomposable quadratic spaces over the polynomial ring \(K[X,Y]\) whose reductions modulo \((X,Y)\) are isometric to \(q\).
anisotropic quadratic space of rank \(\geq 3\)
scientific article; zbMATH DE number 3975015
scientific article