Article ID Journal Published Year Pages File Type
5772796 Journal of Pure and Applied Algebra 2017 27 Pages PDF
Abstract
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〉.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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