A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over Q
Overview & Synopsis
Restricting ourselves to elliptic curves over 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.
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Document Information
| Document Title | A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over Q |
|---|---|
| Author / Organization | Masanori Asakura, Masataka Chida, François Brunault |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2023 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-185839 |
| Original Source Link | Visit Source Page on hal.science » |