Work

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

Year: 2025

Type: article

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 give a purely group-theoretical construction of 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.

Source: Israel Journal of Mathematics

DOI: 10.1007/s11856-025-2808-0

Authors: Ambrus Pál, Endre Szabó

Institutions: Imperial College London, HUN-REN Alfréd Rényi Institute of Mathematics

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

OpenAlex ID: W3080210262