## 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.2016.12.027Wickelgren, 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