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http://hdl.handle.net/2445/193534| Title: | Plectic $p$-adic invariants |
| Author: | Fornea, Michele Guitart Morales, Xavier Masdeu, Marc |
| Keywords: | Teoria algebraica de nombres Funcions L Grups discontinus Corbes el·líptiques Algebraic number theory L-functions Discontinuous groups Elliptic curves |
| Issue Date: | 17-Sep-2022 |
| Publisher: | Elsevier B.V. |
| Abstract: | For modular elliptic curves over number fields of narrow class number one, and with multiplicative reduction at a collection of $p$-adic primes, we define new $p$-adic invariants. Inspired by Nekováŕ and Scholl's plectic conjectures, we believe these invariants control the Mordell-Weil group of higher rank elliptic curves and we support our expectations with numerical experiments. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.1016/j.aim.2022.108484 |
| It is part of: | Advances in Mathematics, 2022, vol. 406 |
| URI: | http://hdl.handle.net/2445/193534 |
| Related resource: | https://doi.org/10.1016/j.aim.2022.108484 |
| ISSN: | 0001-8708 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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17-9-2024
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