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A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over Q
| Title: | A numerical approach toward the p-adic Beilinson conjecture for elliptic curves over Q |
| Authors: | Asakura, Masanori Browse this author →KAKEN DB | | Chida, Masataka Browse this author →KAKEN DB | | Brunault, Francois Browse this author |
| Issue Date: | Mar-2023 |
| Publisher: | Springer |
| Journal Title: | Research in the Mathematical Sciences |
| Volume: | 10 |
| Issue: | 1 |
| Start Page: | 11 |
| Publisher DOI: | 10.1007/s40687-023-00374-2 |
| Abstract: | 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. |
| Rights: | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s40687-023-00374-2 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/91491 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 朝倉 政典
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