On 3-Nilpotent Obstructions to π1 Sections for $$ \mathbb{P}^{1}_\mathbb{Q}$$−{0,1, $$\infty$$}

DOI10.1007/978-3-642-23905-2_12zbMATH Open1319.14031arXiv1011.0655OpenAlexW80853808MaRDI QIDQ5259217

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Publication date: 26 June 2015

Published in: (Search for Journal in Brave)

Abstract: We study which rational points of the Jacobian of P^1_K -{0,1,infty} can be lifted to sections of geometrically 3 nilpotent quotients of etale pi_1 over the absolute Galois group. This is equivalent to evaluating certain triple Massey products of elements of H^1(G_K). For K=Q_p or R, we give a complete mod 2 calculation. This permits some mod 2 calculations for K = Q. These are computations of obstructions of Jordan Ellenberg.

Full work available at URL: https://arxiv.org/abs/1011.0655

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