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Publications [#345586] of Kirsten G. Wickelgren

Papers Published

  1. Wickelgren, K, On 3-nilpotent obstructions to π1 sections for ℙ1-{0,1,∞}, in The Arithmetic of Fundamental Groups: PIA 2010 (January, 2012), pp. 281-328, ISBN 9783642239045 [doi]
    (last updated on 2022/07/01)

    Abstract:
    We study which rational points of the Jacobian of ℙ1-{0,1,∞} can be lifted to sections of geometrically 3-nilpotent quotients of étale π1 over the absolute Galois group. This is equivalent to evaluating certain triple Massey products of elements of k* ⊆ H1(Gk, ℤ(1)) or H1(Gk,ℤ/2ℤ). For k = ℚp 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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