Splitting Varieties for Triple Massey Products
By M. Hopkins, K. Wickelgren. 2012
71 citations recorded by the source corpus.
Abstract 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 1 ( F , μ 2 ) contains 0 if and only if there are x ∈ F ⁎ and y ∈ F [ a , c ] ⁎ such that b x 2 = N F [ a , c ] / F ( y ) , where N F [ 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.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/cc8dc4b3ac6e048f8d9b5414b830b33823f9327c
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Triple Massey products and Galois theory (2013, methodology): “ohomology of G (see e.g., [NSW, Chapter I,§2]). For any a ∈ F∗ = F \ {0}, let χa denote the corresponding character via the Kummer map F∗ → H1(G,F2). In the work of M. J. Hopkins and K. G. Wickelgren [HW], the following result was proved. Theorem 1.1 ([HW, Theorem 1.2]). Let F be a global field of ch”