虚上同调维数不超过 $1$ 的域上的强 Massey 消失猜想
代数几何
2022-07-05 v7
摘要
我们利用 Haran 的一个定理证明，对虚上同调维数至多为 的域，关于 重 Massey 积的强消失猜想成立。利用 Haran--Jarden 的结果，我们对 PpC 域也证明了同样结论。最后我们构造一个 pro- 群，它对每个 满足弱 Massey 消失性质，但对 不满足强 Massey 消失性质。
引用
@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}
}
备注
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