{"paper":{"title":"Massey products <y,x,x,...,x,x,y> in Galois cohomology via rational points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.NT"],"primary_cat":"math.AT","authors_text":"Kirsten Wickelgren","submitted_at":"2016-01-23T22:49:01Z","abstract_excerpt":"For $x$ an element of a field other than $0$ or $1$, we compute the order $n$ Massey products $$\\langle (1-x)^{-1}, x^{-1}, \\ldots, x^{-1}, (1-x)^{-1} \\rangle$$ of $n-2$ factors of $x^{-1}$ and two factors of $(1-x)^{-1}$ by embedding $\\mathbb{P}^1 - \\{0,1,\\infty\\}$ into its Picard variety and constructing $\\operatorname{Gal}(k^s/k)$ equivariant maps from $\\pi_1$ applied to this embedding to unipotent matrix groups. This method produces obstructions to $\\pi_1$-sections of $\\mathbb{P}^1 - \\{0,1,\\infty\\}$, partial computations of obstructions of Jordan Ellenberg, and also computes the Massey pro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06318","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}