Publications [#353836] of Kirsten G. Wickelgren

Papers Published

1. Wickelgren, K, 3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty}, edited by Stix, J, The Arithmetic of Fundamental Groups Pia 2010, Editor J. Stix, Contributions in Mathematical and Computational Sciences, Vol. 2, Springer Verlag Berlin Heidelberg, 2012 (January, 2012)
   (last updated on 2022/07/01)

   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.