The Massey vanishing conjecture for number fields
Number Theory
2023-02-01 v2 Algebraic Geometry
Abstract
A conjecture of Min\'a\v{c} and T\^an predicts that for any n>2, any prime p and any field k, the Massey product of n Galois cohomology classes in H^1(k,Z/pZ) must vanish if it is defined. We establish this conjecture when k is a number field.
Keywords
Cite
@article{arxiv.1904.06512,
title = {The Massey vanishing conjecture for number fields},
author = {Yonatan Harpaz and Olivier Wittenberg},
journal= {arXiv preprint arXiv:1904.06512},
year = {2023}
}
Comments
33 pages; improved exposition, final version