Report
Elliptic curves and Thompson's sporadic simple group
| العنوان: | Elliptic curves and Thompson's sporadic simple group |
|---|---|
| المؤلفون: | Khaqan, Maryam |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11F22, 11F37 |
| الوصف: | We characterize all infinite-dimensional graded virtual modules for Thompson's sporadic simple group, whose graded traces are weight 3/2 weakly holomorphic modular forms satisfying certain special properties. We then use these modules to detect the non-triviality of Mordell--Weil, Selmer, and Tate--Shafarevich groups of quadratic twists of certain elliptic curves. Comment: 31 pages, accepted for publication in Journal of Number Theory |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2008.01607 |
| رقم الانضمام: | edsarx.2008.01607 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |