数域上的非分歧海森堡群扩张
数论
2022-06-15 v3
摘要
我们构造了数域上超椭圆曲线的 étale 广义海森堡群覆盖。利用这些覆盖，我们给出了分圆域的二次扩张的无穷族，它们容许处处非分歧的广义海森堡伽罗瓦扩张。
引用
@article{arxiv.1912.03019,
title = {Unramified Heisenberg group extensions of number fields},
author = {Frauke Bleher and Ted Chinburg and Jean Gillibert},
journal= {arXiv preprint arXiv:1912.03019},
year = {2022}
}
备注
11 pages; added Remark 3.4, extended Section 3.3, shortened Section 4.2 and added Section 4.3