Splitting Varieties for Triple Massey Products
نویسنده
چکیده
We construct splitting varieties for triple Massey products. For a, b, c ∈ F∗ the triple Massey product 〈a, b, c〉 of the corresponding elements of H(F, μ2) contains 0 if and only if there is x ∈ F∗ and y ∈ F[ √ a, √ c]∗ such that bx = NF[a,c]/F(y), where NF[ √ a, √ c]/F denotes the norm, and F is a field of characteristic different from 2. These varieties satisfy the Hasse principle by a result of D.B. Leep and A.R. Wadsworth. This shows that triple Massey products for global fields of characteristic different from 2 always contain 0.
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تاریخ انتشار 2013