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3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty} (1011.0655v2)
Published 2 Nov 2010 in math.AG
Abstract: We study which rational points of the Jacobian of P1_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 H1(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.
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