Report
A numerical approach toward the $p$-adic Beilinson conjecture for elliptic curves over $\mathbb{Q}$
| العنوان: | A numerical approach toward the $p$-adic Beilinson conjecture for elliptic curves over $\mathbb{Q}$ |
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| المؤلفون: | Asakura, Masanori, Chida, Masataka |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory |
| الوصف: | Restricting ourselves to elliptic curves over $\mathbb{Q}$, we reformulate the $p$-adic Beilinson conjecture due to Perrin-Riou, which is customized to our computational approach. We then develop a new algorithm for numerical verifications of the $p$-adic Beilinson conjecture, which is based on the theory of rigid cohomology and $F$-isocrystals. Comment: 69 pages, an appendix by Fran\c{c}ois Brunault |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2003.08888 |
| رقم الانضمام: | edsarx.2003.08888 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |