The Massey vanishing conjecture for number fields

Published 13 Apr 2019 in math.NT and math.AG | (1904.06512v2)

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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