Kolyvagin derivatives of modular points on elliptic curves

椭圆曲线上模点的 Kolyvagin 导数

• 批准号: 1800613
• 金额: --
• 依托单位: University of Nottingham
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2016
• 资助国家: 英国
• 起止时间: 2016 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1800613
• 关键词: Kolyvagin; derivatives; modular; points; elliptic

"Using modular and integral representation theory and group cohomology, it is possible to generalise the derivative construction by Kolyvagin to non-abelian Galois groups. This can be applied to rational points on elliptic curves obtained from the modular parametrisation and it yields interesting cohomology classes that may bound Selmer groups for twists by different Artin representations than the ones generated by the points."

使用模和积分表示理论和群上同调，可以将Kolyvagin的导数构造推广到非阿贝尔伽罗瓦群。这可以应用于有理点的椭圆曲线上获得的模块parametrisation和它产生有趣的上同调类，可能绑定塞尔默组扭曲不同的阿丁表示比产生的点。"

项目成果

Kolyvagin derivatives of modular points on elliptic curves

椭圆曲线上模点的 Kolyvagin 导数

• DOI: 10.1016/j.jnt.2020.10.014
• 发表时间: 2021
• 期刊: Journal of Number Theory
• 影响因子: 0.7
• 作者: Hatton R