Abstract
Let F be a field with 2 = 0 and ϕ = ⟨⟨a 1,…,a n ⟩⟩ an n-fold anisotropic bilinear Pfister form over F with function field F(ϕ). In this paper we compute ker where I F ⊂ W(F) is the maximal ideal in the Witt ring W(F) of F. We use this computation to prove an n-linkage property of the subfields F 2(a 1,…,a n ).
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