The strong Massey vanishing conjecture for fields with virtual cohomological dimension at most $1$
Algebraic Geometry
2022-07-05 v7
Abstract
We show that a strong vanishing conjecture for -fold Massey products holds for fields of virtual cohomological dimension at most using a theorem of Haran. We also prove the same for PpC fields, using results of Haran--Jarden. Finally we construct a pro- group which satisfies the weak Massey vanishing property for every , but does not satisfy the strong Massey vanishing property for .
Keywords
Cite
@article{arxiv.1811.06192,
title = {The strong Massey vanishing conjecture for fields with virtual cohomological dimension at most $1$},
author = {Ambrus Pál and Endre Szabó},
journal= {arXiv preprint arXiv:1811.06192},
year = {2022}
}
Comments
26 pages. Originally this paper was the last section of our paper "The fibration method over real function fields". The referee asked us to remove it, but because of ArXiv policy we cannot post it as a separate paper. Revised version, with two new results suggested by the referee. Submitted