THE MASSEY VANISHING CONJECTURE FOR NUMBER FIELDS

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Abstract

A conjecture of Mináč and Tân predicts that for any n ≥ 3, 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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Harpaz, Y., & Wittenberg, O. (2023). THE MASSEY VANISHING CONJECTURE FOR NUMBER FIELDS. Duke Mathematical Journal, 172(1), 1–41. https://doi.org/10.1215/00127094-2022-0004

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