Splitting varieties for triple Massey products

Published

Journal Article

© 2014 Elsevier B.V. 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 H1(F, μ2) contains 0 if and only if there are x∈F* and y∈F[a,c]* such that bx2=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.

Full Text

Duke Authors

Cited Authors

  • Hopkins, MJ; Wickelgren, KG

Published Date

  • January 1, 2015

Published In

Volume / Issue

  • 219 / 5

Start / End Page

  • 1304 - 1319

International Standard Serial Number (ISSN)

  • 0022-4049

Digital Object Identifier (DOI)

  • 10.1016/j.jpaa.2014.06.006

Citation Source

  • Scopus