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.Comment: 10 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 a new result suggested by the referee. Submitte