3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty}
Publication
, Journal Article
Wickelgren, K
Published in: The Arithmetic of Fundamental Groups - PIA 2010, editor J. Stix,
Contributions in Mathematical and Computational Sciences, Vol. 2,
Springer-Verlag Berlin Heidelberg, 2012
January 1, 2012
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.
Duke Scholars
Published In
The Arithmetic of Fundamental Groups - PIA 2010, editor J. Stix,
Contributions in Mathematical and Computational Sciences, Vol. 2,
Springer-Verlag Berlin Heidelberg, 2012
Publication Date
January 1, 2012
Citation
APA
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Wickelgren, K. (2012). 3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty}. The Arithmetic of Fundamental Groups - PIA 2010, Editor J. Stix, Contributions in Mathematical and Computational Sciences, Vol. 2, Springer-Verlag Berlin Heidelberg, 2012.
Wickelgren, Kirsten. “3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty}.” Edited by Jakob Stix. The Arithmetic of Fundamental Groups - PIA 2010, Editor J. Stix, Contributions in Mathematical and Computational Sciences, Vol. 2, Springer-Verlag Berlin Heidelberg, 2012, January 1, 2012.
Wickelgren K. 3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty}. Stix J, editor. The Arithmetic of Fundamental Groups - PIA 2010, editor J Stix, Contributions in Mathematical and Computational Sciences, Vol 2, Springer-Verlag Berlin Heidelberg, 2012. 2012 Jan 1;
Wickelgren, Kirsten. “3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty}.” The Arithmetic of Fundamental Groups - PIA 2010, Editor J. Stix, Contributions in Mathematical and Computational Sciences, Vol. 2, Springer-Verlag Berlin Heidelberg, 2012, edited by Jakob Stix, Jan. 2012.
Wickelgren K. 3-nilpotent obstructions to pi_1 sections for P^1_Q - {0,1,infty}. Stix J, editor. The Arithmetic of Fundamental Groups - PIA 2010, editor J Stix, Contributions in Mathematical and Computational Sciences, Vol 2, Springer-Verlag Berlin Heidelberg, 2012. 2012 Jan 1;
Published In
The Arithmetic of Fundamental Groups - PIA 2010, editor J. Stix,
Contributions in Mathematical and Computational Sciences, Vol. 2,
Springer-Verlag Berlin Heidelberg, 2012
Publication Date
January 1, 2012