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arXiv · 1904.06512

The Massey vanishing conjecture for number fields

Yonatan Harpaz·Olivier Wittenberg
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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.

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Yonatan Harpaz, Olivier Wittenberg. 2019-04-13. The Massey vanishing conjecture for number fields. https://doi.org/10.1215/00127094-2022-0004

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