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

2018/11/15 by Ambrus Pál, Pál, Ambrus, Endre Szabó +1
Mathematics · #12E30 #12G05 #12G10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1811.06192

openalex publication_date 2018/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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