中文

Massey积与椭圆曲线

代数几何 2023-09-27 v4 数论

摘要

我们研究完美域上绝对不可约光滑射影曲线以 Z/\mathbb{Z}/\ell 为系数时阶至少为 33 的Massey积的消失性。我们主要关注椭圆曲线,对其获得了三重Massey积不消失时的完整刻画。

关键词

引用

@article{arxiv.2205.13825,
  title  = {Massey products and elliptic curves},
  author = {Frauke M. Bleher and Ted Chinburg and Jean Gillibert},
  journal= {arXiv preprint arXiv:2205.13825},
  year   = {2023}
}

备注

25 pages. In the fourth version, we removed the assumption that F is a perfect field and we added a new Theorem 1.2. Moreover, we changed Example 6.1 and added Examples 7.6 and 7.8