Massey products 〈y,x,x,…,x,x,y〉 in Galois cohomology via rational points
Publication
, Journal Article
Wickelgren, K
Published in: Journal of Pure and Applied Algebra
July 1, 2017
For x an element of a field other than 0 or 1, we compute the order n Massey products 〈(1−x)−1,x−1,…,x−1,(1−x)−1〉 of n−2 factors of x−1 and two factors of (1−x)−1 by embedding P1−{0,1,∞} into its Picard variety and constructing Gal(ks/k) equivariant maps from π1et applied to this embedding to unipotent matrix groups. This method produces obstructions to π1-sections of P1−{0,1,∞}, partial computations of obstructions of Jordan Ellenberg, and also computes the Massey products 〈x−1,(−x)−1,…,(−x)−1,x−1〉.
Duke Scholars
Published In
Journal of Pure and Applied Algebra
DOI
ISSN
0022-4049
Publication Date
July 1, 2017
Volume
221
Issue
7
Start / End Page
1845 / 1866
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Wickelgren, K. (2017). Massey products 〈y,x,x,…,x,x,y〉 in Galois cohomology via rational points. Journal of Pure and Applied Algebra, 221(7), 1845–1866. https://doi.org/10.1016/j.jpaa.2016.12.027
Wickelgren, K. “Massey products 〈y,x,x,…,x,x,y〉 in Galois cohomology via rational points.” Journal of Pure and Applied Algebra 221, no. 7 (July 1, 2017): 1845–66. https://doi.org/10.1016/j.jpaa.2016.12.027.
Wickelgren K. Massey products 〈y,x,x,…,x,x,y〉 in Galois cohomology via rational points. Journal of Pure and Applied Algebra. 2017 Jul 1;221(7):1845–66.
Wickelgren, K. “Massey products 〈y,x,x,…,x,x,y〉 in Galois cohomology via rational points.” Journal of Pure and Applied Algebra, vol. 221, no. 7, July 2017, pp. 1845–66. Scopus, doi:10.1016/j.jpaa.2016.12.027.
Wickelgren K. Massey products 〈y,x,x,…,x,x,y〉 in Galois cohomology via rational points. Journal of Pure and Applied Algebra. 2017 Jul 1;221(7):1845–1866.
Published In
Journal of Pure and Applied Algebra
DOI
ISSN
0022-4049
Publication Date
July 1, 2017
Volume
221
Issue
7
Start / End Page
1845 / 1866
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0101 Pure Mathematics