The strong Massey vanishing conjecture for fields with virtual cohomological dimension at most 1

Pal, Ambrus and Szabó, Endre (2020) The strong Massey vanishing conjecture for fields with virtual cohomological dimension at most 1. MATHEMATISCHE ANNALEN, 378 (3-4). pp. 993-1019. ISSN 0025-5831

Preview

Text 1811.06192.pdf Available under License Creative Commons Attribution. Download (347kB) | Preview

Abstract

We show that a strong vanishing conjecture for n-fold Massey products holds for fields of virtual cohomological dimension at most 1 using a theorem of Haran. We also prove the same for PpC fields, using results of Haran--Jarden. Finally we construct a pro-2 group which satisfies the weak Massey vanishing property for every n≥3, but does not satisfy the strong Massey vanishing property for n=4.

Actions (login required)

Edit Item