Splitting varieties for triple Massey products
Publication
, Journal Article
Hopkins, MJ; Wickelgren, KG
Published in: Journal of Pure and Applied Algebra
May 1, 2015
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.
Duke Scholars
Published In
Journal of Pure and Applied Algebra
DOI
ISSN
0022-4049
Publication Date
May 1, 2015
Volume
219
Issue
5
Start / End Page
1304 / 1319
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Hopkins, M. J., & Wickelgren, K. G. (2015). Splitting varieties for triple Massey products. Journal of Pure and Applied Algebra, 219(5), 1304–1319. https://doi.org/10.1016/j.jpaa.2014.06.006
Hopkins, M. J., and K. G. Wickelgren. “Splitting varieties for triple Massey products.” Journal of Pure and Applied Algebra 219, no. 5 (May 1, 2015): 1304–19. https://doi.org/10.1016/j.jpaa.2014.06.006.
Hopkins MJ, Wickelgren KG. Splitting varieties for triple Massey products. Journal of Pure and Applied Algebra. 2015 May 1;219(5):1304–19.
Hopkins, M. J., and K. G. Wickelgren. “Splitting varieties for triple Massey products.” Journal of Pure and Applied Algebra, vol. 219, no. 5, May 2015, pp. 1304–19. Scopus, doi:10.1016/j.jpaa.2014.06.006.
Hopkins MJ, Wickelgren KG. Splitting varieties for triple Massey products. Journal of Pure and Applied Algebra. 2015 May 1;219(5):1304–1319.
Published In
Journal of Pure and Applied Algebra
DOI
ISSN
0022-4049
Publication Date
May 1, 2015
Volume
219
Issue
5
Start / End Page
1304 / 1319
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0101 Pure Mathematics